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Finding the Fourth Proportional to 16,335.71, 22,542.98 and 9,165.76

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Solution

The fourth proportional to 16,335.71, 22,542.98 and 9,165.76 is: 12,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.71 : 22,542.98 = 9,165.76 : x
  2. Step 2: Convert to fraction form
    16,335.71/22,542.98 = 9,165.76/x
  3. Step 3: Cross multiply
    16,335.71x = 22,542.98 × 9,165.76
  4. Step 4: Simplify right side
    16,335.71x = 206,623,431.65
  5. Step 5: Solve for x
    x = 206,623,431.65/16,335.71
  6. Step 6: Final answer
    x = 12,648.58

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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.