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Finding the Fourth Proportional to 25,974.68, 38,948.12 and 13,482.12

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Solution

The fourth proportional to 25,974.68, 38,948.12 and 13,482.12 is: 20,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974.68 : 38,948.12 = 13,482.12 : x
  2. Step 2: Convert to fraction form
    25,974.68/38,948.12 = 13,482.12/x
  3. Step 3: Cross multiply
    25,974.68x = 38,948.12 × 13,482.12
  4. Step 4: Simplify right side
    25,974.68x = 525,103,227.61
  5. Step 5: Solve for x
    x = 525,103,227.61/25,974.68
  6. Step 6: Final answer
    x = 20,215.97

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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.