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Finding the Fourth Proportional to 16,177.55, 22,325.19 and 9,102.61

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Solution

The fourth proportional to 16,177.55, 22,325.19 and 9,102.61 is: 12,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.55 : 22,325.19 = 9,102.61 : x
  2. Step 2: Convert to fraction form
    16,177.55/22,325.19 = 9,102.61/x
  3. Step 3: Cross multiply
    16,177.55x = 22,325.19 × 9,102.61
  4. Step 4: Simplify right side
    16,177.55x = 203,217,441.93
  5. Step 5: Solve for x
    x = 203,217,441.93/16,177.55
  6. Step 6: Final answer
    x = 12,561.69

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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.