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Finding the Fourth Proportional to 19,802.28, 29,761.50 and 16,491.70

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Solution

The fourth proportional to 19,802.28, 29,761.50 and 16,491.70 is: 24,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.28 : 29,761.50 = 16,491.70 : x
  2. Step 2: Convert to fraction form
    19,802.28/29,761.50 = 16,491.70/x
  3. Step 3: Cross multiply
    19,802.28x = 29,761.50 × 16,491.70
  4. Step 4: Simplify right side
    19,802.28x = 490,817,729.55
  5. Step 5: Solve for x
    x = 490,817,729.55/19,802.28
  6. Step 6: Final answer
    x = 24,785.92

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