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Finding the Fourth Proportional to 25,687.70, 38,542.35 and 14,009.30

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Solution

The fourth proportional to 25,687.70, 38,542.35 and 14,009.30 is: 21,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,687.70 : 38,542.35 = 14,009.30 : x
  2. Step 2: Convert to fraction form
    25,687.70/38,542.35 = 14,009.30/x
  3. Step 3: Cross multiply
    25,687.70x = 38,542.35 × 14,009.30
  4. Step 4: Simplify right side
    25,687.70x = 539,951,343.86
  5. Step 5: Solve for x
    x = 539,951,343.86/25,687.70
  6. Step 6: Final answer
    x = 21,019.84

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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.