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Finding the Fourth Proportional to 26,472.60, 36,532.60 and 14,537

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Solution

The fourth proportional to 26,472.60, 36,532.60 and 14,537 is: 20,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,472.60 : 36,532.60 = 14,537 : x
  2. Step 2: Convert to fraction form
    26,472.60/36,532.60 = 14,537/x
  3. Step 3: Cross multiply
    26,472.60x = 36,532.60 × 14,537
  4. Step 4: Simplify right side
    26,472.60x = 531,074,406.20
  5. Step 5: Solve for x
    x = 531,074,406.20/26,472.60
  6. Step 6: Final answer
    x = 20,061.29

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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.