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Finding the Fourth Proportional to 16,164.66, 22,307.13 and 9,091.17

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Solution

The fourth proportional to 16,164.66, 22,307.13 and 9,091.17 is: 12,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.66 : 22,307.13 = 9,091.17 : x
  2. Step 2: Convert to fraction form
    16,164.66/22,307.13 = 9,091.17/x
  3. Step 3: Cross multiply
    16,164.66x = 22,307.13 × 9,091.17
  4. Step 4: Simplify right side
    16,164.66x = 202,797,911.04
  5. Step 5: Solve for x
    x = 202,797,911.04/16,164.66
  6. Step 6: Final answer
    x = 12,545.76

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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.