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Finding the Fourth Proportional to 20,737.64, 31,109.16 and 8,258.78

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Solution

The fourth proportional to 20,737.64, 31,109.16 and 8,258.78 is: 12,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.64 : 31,109.16 = 8,258.78 : x
  2. Step 2: Convert to fraction form
    20,737.64/31,109.16 = 8,258.78/x
  3. Step 3: Cross multiply
    20,737.64x = 31,109.16 × 8,258.78
  4. Step 4: Simplify right side
    20,737.64x = 256,923,708.42
  5. Step 5: Solve for x
    x = 256,923,708.42/20,737.64
  6. Step 6: Final answer
    x = 12,389.25

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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.