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Finding the Fourth Proportional to 14,838.57, 20,491.10 and 9,542.59

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Solution

The fourth proportional to 14,838.57, 20,491.10 and 9,542.59 is: 13,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.57 : 20,491.10 = 9,542.59 : x
  2. Step 2: Convert to fraction form
    14,838.57/20,491.10 = 9,542.59/x
  3. Step 3: Cross multiply
    14,838.57x = 20,491.10 × 9,542.59
  4. Step 4: Simplify right side
    14,838.57x = 195,538,165.95
  5. Step 5: Solve for x
    x = 195,538,165.95/14,838.57
  6. Step 6: Final answer
    x = 13,177.70

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