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Finding the Fourth Proportional to 25,586.54, 38,385.66 and 7,819.73

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Solution

The fourth proportional to 25,586.54, 38,385.66 and 7,819.73 is: 11,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.54 : 38,385.66 = 7,819.73 : x
  2. Step 2: Convert to fraction form
    25,586.54/38,385.66 = 7,819.73/x
  3. Step 3: Cross multiply
    25,586.54x = 38,385.66 × 7,819.73
  4. Step 4: Simplify right side
    25,586.54x = 300,165,488.16
  5. Step 5: Solve for x
    x = 300,165,488.16/25,586.54
  6. Step 6: Final answer
    x = 11,731.38

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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.