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Finding the Fourth Proportional to 16,239.52, 22,414 and 10,267.36

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Solution

The fourth proportional to 16,239.52, 22,414 and 10,267.36 is: 14,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.52 : 22,414 = 10,267.36 : x
  2. Step 2: Convert to fraction form
    16,239.52/22,414 = 10,267.36/x
  3. Step 3: Cross multiply
    16,239.52x = 22,414 × 10,267.36
  4. Step 4: Simplify right side
    16,239.52x = 230,132,607.04
  5. Step 5: Solve for x
    x = 230,132,607.04/16,239.52
  6. Step 6: Final answer
    x = 14,171.15

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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.