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Finding the Fourth Proportional to 25,500.90, 38,251.38 and 7,970.82

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Solution

The fourth proportional to 25,500.90, 38,251.38 and 7,970.82 is: 11,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.90 : 38,251.38 = 7,970.82 : x
  2. Step 2: Convert to fraction form
    25,500.90/38,251.38 = 7,970.82/x
  3. Step 3: Cross multiply
    25,500.90x = 38,251.38 × 7,970.82
  4. Step 4: Simplify right side
    25,500.90x = 304,894,864.73
  5. Step 5: Solve for x
    x = 304,894,864.73/25,500.90
  6. Step 6: Final answer
    x = 11,956.24

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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.