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Finding the Fourth Proportional to 22,141.92, 30,558 and 16,543.20

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Solution

The fourth proportional to 22,141.92, 30,558 and 16,543.20 is: 22,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141.92 : 30,558 = 16,543.20 : x
  2. Step 2: Convert to fraction form
    22,141.92/30,558 = 16,543.20/x
  3. Step 3: Cross multiply
    22,141.92x = 30,558 × 16,543.20
  4. Step 4: Simplify right side
    22,141.92x = 505,527,105.60
  5. Step 5: Solve for x
    x = 505,527,105.60/22,141.92
  6. Step 6: Final answer
    x = 22,831.22

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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.