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Finding the Fourth Proportional to 16,165.13, 22,306.94 and 9,091.07

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Solution

The fourth proportional to 16,165.13, 22,306.94 and 9,091.07 is: 12,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.13 : 22,306.94 = 9,091.07 : x
  2. Step 2: Convert to fraction form
    16,165.13/22,306.94 = 9,091.07/x
  3. Step 3: Cross multiply
    16,165.13x = 22,306.94 × 9,091.07
  4. Step 4: Simplify right side
    16,165.13x = 202,793,841.49
  5. Step 5: Solve for x
    x = 202,793,841.49/16,165.13
  6. Step 6: Final answer
    x = 12,545.14

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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.