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Finding the Fourth Proportional to 14,593.10, 21,905.85 and 9,052.70

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Solution

The fourth proportional to 14,593.10, 21,905.85 and 9,052.70 is: 13,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.10 : 21,905.85 = 9,052.70 : x
  2. Step 2: Convert to fraction form
    14,593.10/21,905.85 = 9,052.70/x
  3. Step 3: Cross multiply
    14,593.10x = 21,905.85 × 9,052.70
  4. Step 4: Simplify right side
    14,593.10x = 198,307,088.30
  5. Step 5: Solve for x
    x = 198,307,088.30/14,593.10
  6. Step 6: Final answer
    x = 13,589.10

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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.