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Finding the Fourth Proportional to 17,665, 24,377.70 and 10,217.32

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Solution

The fourth proportional to 17,665, 24,377.70 and 10,217.32 is: 14,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665 : 24,377.70 = 10,217.32 : x
  2. Step 2: Convert to fraction form
    17,665/24,377.70 = 10,217.32/x
  3. Step 3: Cross multiply
    17,665x = 24,377.70 × 10,217.32
  4. Step 4: Simplify right side
    17,665x = 249,074,761.76
  5. Step 5: Solve for x
    x = 249,074,761.76/17,665
  6. Step 6: Final answer
    x = 14,099.90

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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.