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Finding the Fourth Proportional to 16,151.82, 22,290.92 and 9,078.29

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Solution

The fourth proportional to 16,151.82, 22,290.92 and 9,078.29 is: 12,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,151.82 : 22,290.92 = 9,078.29 : x
  2. Step 2: Convert to fraction form
    16,151.82/22,290.92 = 9,078.29/x
  3. Step 3: Cross multiply
    16,151.82x = 22,290.92 × 9,078.29
  4. Step 4: Simplify right side
    16,151.82x = 202,363,279.28
  5. Step 5: Solve for x
    x = 202,363,279.28/16,151.82
  6. Step 6: Final answer
    x = 12,528.82

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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.