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Finding the Fourth Proportional to 15,922.40, 23,839.80 and 8,115.68

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Solution

The fourth proportional to 15,922.40, 23,839.80 and 8,115.68 is: 12,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.40 : 23,839.80 = 8,115.68 : x
  2. Step 2: Convert to fraction form
    15,922.40/23,839.80 = 8,115.68/x
  3. Step 3: Cross multiply
    15,922.40x = 23,839.80 × 8,115.68
  4. Step 4: Simplify right side
    15,922.40x = 193,476,188.06
  5. Step 5: Solve for x
    x = 193,476,188.06/15,922.40
  6. Step 6: Final answer
    x = 12,151.20

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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.