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Finding the Fourth Proportional to 16,164.72, 22,307.17 and 9,091.20

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Solution

The fourth proportional to 16,164.72, 22,307.17 and 9,091.20 is: 12,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.72 : 22,307.17 = 9,091.20 : x
  2. Step 2: Convert to fraction form
    16,164.72/22,307.17 = 9,091.20/x
  3. Step 3: Cross multiply
    16,164.72x = 22,307.17 × 9,091.20
  4. Step 4: Simplify right side
    16,164.72x = 202,798,943.90
  5. Step 5: Solve for x
    x = 202,798,943.90/16,164.72
  6. Step 6: Final answer
    x = 12,545.78

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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.