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Finding the Fourth Proportional to 25,489.74, 38,235 and 9,694.98

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Solution

The fourth proportional to 25,489.74, 38,235 and 9,694.98 is: 14,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,489.74 : 38,235 = 9,694.98 : x
  2. Step 2: Convert to fraction form
    25,489.74/38,235 = 9,694.98/x
  3. Step 3: Cross multiply
    25,489.74x = 38,235 × 9,694.98
  4. Step 4: Simplify right side
    25,489.74x = 370,687,560.30
  5. Step 5: Solve for x
    x = 370,687,560.30/25,489.74
  6. Step 6: Final answer
    x = 14,542.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.