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Finding the Fourth Proportional to 25,540.79, 38,311.16 and 8,011.98

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Solution

The fourth proportional to 25,540.79, 38,311.16 and 8,011.98 is: 12,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.79 : 38,311.16 = 8,011.98 : x
  2. Step 2: Convert to fraction form
    25,540.79/38,311.16 = 8,011.98/x
  3. Step 3: Cross multiply
    25,540.79x = 38,311.16 × 8,011.98
  4. Step 4: Simplify right side
    25,540.79x = 306,948,207.64
  5. Step 5: Solve for x
    x = 306,948,207.64/25,540.79
  6. Step 6: Final answer
    x = 12,017.96

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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.