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Finding the Fourth Proportional to 25,885.20, 38,833.20 and 14,782.80

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Solution

The fourth proportional to 25,885.20, 38,833.20 and 14,782.80 is: 22,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.20 : 38,833.20 = 14,782.80 : x
  2. Step 2: Convert to fraction form
    25,885.20/38,833.20 = 14,782.80/x
  3. Step 3: Cross multiply
    25,885.20x = 38,833.20 × 14,782.80
  4. Step 4: Simplify right side
    25,885.20x = 574,063,428.96
  5. Step 5: Solve for x
    x = 574,063,428.96/25,885.20
  6. Step 6: Final answer
    x = 22,177.28

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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.