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Finding the Fourth Proportional to 23,839.60, 35,747.88 and 13,982.08

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Solution

The fourth proportional to 23,839.60, 35,747.88 and 13,982.08 is: 20,966.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.60 : 35,747.88 = 13,982.08 : x
  2. Step 2: Convert to fraction form
    23,839.60/35,747.88 = 13,982.08/x
  3. Step 3: Cross multiply
    23,839.60x = 35,747.88 × 13,982.08
  4. Step 4: Simplify right side
    23,839.60x = 499,829,717.99
  5. Step 5: Solve for x
    x = 499,829,717.99/23,839.60
  6. Step 6: Final answer
    x = 20,966.36

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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.