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Finding the Fourth Proportional to 25,951.64, 38,932.92 and 8,420.10

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Solution

The fourth proportional to 25,951.64, 38,932.92 and 8,420.10 is: 12,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,951.64 : 38,932.92 = 8,420.10 : x
  2. Step 2: Convert to fraction form
    25,951.64/38,932.92 = 8,420.10/x
  3. Step 3: Cross multiply
    25,951.64x = 38,932.92 × 8,420.10
  4. Step 4: Simplify right side
    25,951.64x = 327,819,079.69
  5. Step 5: Solve for x
    x = 327,819,079.69/25,951.64
  6. Step 6: Final answer
    x = 12,631.92

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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.