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Finding the Fourth Proportional to 20,143.76, 30,216.24 and 9,614.90

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Solution

The fourth proportional to 20,143.76, 30,216.24 and 9,614.90 is: 14,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.76 : 30,216.24 = 9,614.90 : x
  2. Step 2: Convert to fraction form
    20,143.76/30,216.24 = 9,614.90/x
  3. Step 3: Cross multiply
    20,143.76x = 30,216.24 × 9,614.90
  4. Step 4: Simplify right side
    20,143.76x = 290,525,974.89
  5. Step 5: Solve for x
    x = 290,525,974.89/20,143.76
  6. Step 6: Final answer
    x = 14,422.63

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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.