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Finding the Fourth Proportional to 16,511.71, 22,786.16 and 9,438.29

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Solution

The fourth proportional to 16,511.71, 22,786.16 and 9,438.29 is: 13,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.71 : 22,786.16 = 9,438.29 : x
  2. Step 2: Convert to fraction form
    16,511.71/22,786.16 = 9,438.29/x
  3. Step 3: Cross multiply
    16,511.71x = 22,786.16 × 9,438.29
  4. Step 4: Simplify right side
    16,511.71x = 215,062,272.14
  5. Step 5: Solve for x
    x = 215,062,272.14/16,511.71
  6. Step 6: Final answer
    x = 13,024.83

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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.