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Finding the Fourth Proportional to 25,831.60, 38,747.40 and 8,302.80

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Solution

The fourth proportional to 25,831.60, 38,747.40 and 8,302.80 is: 12,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.60 : 38,747.40 = 8,302.80 : x
  2. Step 2: Convert to fraction form
    25,831.60/38,747.40 = 8,302.80/x
  3. Step 3: Cross multiply
    25,831.60x = 38,747.40 × 8,302.80
  4. Step 4: Simplify right side
    25,831.60x = 321,711,912.72
  5. Step 5: Solve for x
    x = 321,711,912.72/25,831.60
  6. Step 6: Final answer
    x = 12,454.20

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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.