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Finding the Fourth Proportional to 25,948.80, 38,932.80 and 8,419.20

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Solution

The fourth proportional to 25,948.80, 38,932.80 and 8,419.20 is: 12,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,948.80 : 38,932.80 = 8,419.20 : x
  2. Step 2: Convert to fraction form
    25,948.80/38,932.80 = 8,419.20/x
  3. Step 3: Cross multiply
    25,948.80x = 38,932.80 × 8,419.20
  4. Step 4: Simplify right side
    25,948.80x = 327,783,029.76
  5. Step 5: Solve for x
    x = 327,783,029.76/25,948.80
  6. Step 6: Final answer
    x = 12,631.91

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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.