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Finding the Fourth Proportional to 22,263.40, 30,711.18 and 15,200.20

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Solution

The fourth proportional to 22,263.40, 30,711.18 and 15,200.20 is: 20,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.40 : 30,711.18 = 15,200.20 : x
  2. Step 2: Convert to fraction form
    22,263.40/30,711.18 = 15,200.20/x
  3. Step 3: Cross multiply
    22,263.40x = 30,711.18 × 15,200.20
  4. Step 4: Simplify right side
    22,263.40x = 466,816,078.24
  5. Step 5: Solve for x
    x = 466,816,078.24/22,263.40
  6. Step 6: Final answer
    x = 20,967.87

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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.