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Finding the Fourth Proportional to 16,177.70, 22,325.14 and 9,104.17

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Solution

The fourth proportional to 16,177.70, 22,325.14 and 9,104.17 is: 12,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.70 : 22,325.14 = 9,104.17 : x
  2. Step 2: Convert to fraction form
    16,177.70/22,325.14 = 9,104.17/x
  3. Step 3: Cross multiply
    16,177.70x = 22,325.14 × 9,104.17
  4. Step 4: Simplify right side
    16,177.70x = 203,251,869.83
  5. Step 5: Solve for x
    x = 203,251,869.83/16,177.70
  6. Step 6: Final answer
    x = 12,563.71

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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.