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Finding the Fourth Proportional to 20,756.64, 31,134.88 and 12,439.16

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Solution

The fourth proportional to 20,756.64, 31,134.88 and 12,439.16 is: 18,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756.64 : 31,134.88 = 12,439.16 : x
  2. Step 2: Convert to fraction form
    20,756.64/31,134.88 = 12,439.16/x
  3. Step 3: Cross multiply
    20,756.64x = 31,134.88 × 12,439.16
  4. Step 4: Simplify right side
    20,756.64x = 387,291,753.90
  5. Step 5: Solve for x
    x = 387,291,753.90/20,756.64
  6. Step 6: Final answer
    x = 18,658.69

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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.