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Finding the Fourth Proportional to 25,778.49, 38,665.80 and 8,008.65

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Solution

The fourth proportional to 25,778.49, 38,665.80 and 8,008.65 is: 12,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.49 : 38,665.80 = 8,008.65 : x
  2. Step 2: Convert to fraction form
    25,778.49/38,665.80 = 8,008.65/x
  3. Step 3: Cross multiply
    25,778.49x = 38,665.80 × 8,008.65
  4. Step 4: Simplify right side
    25,778.49x = 309,660,859.17
  5. Step 5: Solve for x
    x = 309,660,859.17/25,778.49
  6. Step 6: Final answer
    x = 12,012.37

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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.