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Finding the Fourth Proportional to 25,755.72, 38,648.09 and 13,909.32

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Solution

The fourth proportional to 25,755.72, 38,648.09 and 13,909.32 is: 20,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.72 : 38,648.09 = 13,909.32 : x
  2. Step 2: Convert to fraction form
    25,755.72/38,648.09 = 13,909.32/x
  3. Step 3: Cross multiply
    25,755.72x = 38,648.09 × 13,909.32
  4. Step 4: Simplify right side
    25,755.72x = 537,568,607.73
  5. Step 5: Solve for x
    x = 537,568,607.73/25,755.72
  6. Step 6: Final answer
    x = 20,871.81

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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.