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Finding the Fourth Proportional to 17,784,830.20, 24,543,082.07 and 9,636,068.20

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Solution

The fourth proportional to 17,784,830.20, 24,543,082.07 and 9,636,068.20 is: 13,297,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784,830.20 : 24,543,082.07 = 9,636,068.20 : x
  2. Step 2: Convert to fraction form
    17,784,830.20/24,543,082.07 = 9,636,068.20/x
  3. Step 3: Cross multiply
    17,784,830.20x = 24,543,082.07 × 9,636,068.20
  4. Step 4: Simplify right side
    17,784,830.20x = 236,498,812,664,717.16
  5. Step 5: Solve for x
    x = 236,498,812,664,717.16/17,784,830.20
  6. Step 6: Final answer
    x = 13,297,783.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.