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Finding the Fourth Proportional to 25,598.48, 38,375.13 and 10,005.20

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Solution

The fourth proportional to 25,598.48, 38,375.13 and 10,005.20 is: 14,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.48 : 38,375.13 = 10,005.20 : x
  2. Step 2: Convert to fraction form
    25,598.48/38,375.13 = 10,005.20/x
  3. Step 3: Cross multiply
    25,598.48x = 38,375.13 × 10,005.20
  4. Step 4: Simplify right side
    25,598.48x = 383,950,850.68
  5. Step 5: Solve for x
    x = 383,950,850.68/25,598.48
  6. Step 6: Final answer
    x = 14,998.97

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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.