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Finding the Fourth Proportional to 25,594.89, 38,398.41 and 8,064.65

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Solution

The fourth proportional to 25,594.89, 38,398.41 and 8,064.65 is: 12,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.89 : 38,398.41 = 8,064.65 : x
  2. Step 2: Convert to fraction form
    25,594.89/38,398.41 = 8,064.65/x
  3. Step 3: Cross multiply
    25,594.89x = 38,398.41 × 8,064.65
  4. Step 4: Simplify right side
    25,594.89x = 309,669,545.21
  5. Step 5: Solve for x
    x = 309,669,545.21/25,594.89
  6. Step 6: Final answer
    x = 12,098.88

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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.