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Finding the Fourth Proportional to 22,397.84, 33,561.87 and 8,354.07

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Solution

The fourth proportional to 22,397.84, 33,561.87 and 8,354.07 is: 12,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,397.84 : 33,561.87 = 8,354.07 : x
  2. Step 2: Convert to fraction form
    22,397.84/33,561.87 = 8,354.07/x
  3. Step 3: Cross multiply
    22,397.84x = 33,561.87 × 8,354.07
  4. Step 4: Simplify right side
    22,397.84x = 280,378,345.07
  5. Step 5: Solve for x
    x = 280,378,345.07/22,397.84
  6. Step 6: Final answer
    x = 12,518.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.