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Finding the Fourth Proportional to 20,344.32, 30,517.02 and 9,812.70

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Solution

The fourth proportional to 20,344.32, 30,517.02 and 9,812.70 is: 14,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.32 : 30,517.02 = 9,812.70 : x
  2. Step 2: Convert to fraction form
    20,344.32/30,517.02 = 9,812.70/x
  3. Step 3: Cross multiply
    20,344.32x = 30,517.02 × 9,812.70
  4. Step 4: Simplify right side
    20,344.32x = 299,454,362.15
  5. Step 5: Solve for x
    x = 299,454,362.15/20,344.32
  6. Step 6: Final answer
    x = 14,719.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.