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Finding the Fourth Proportional to 24,461.60, 33,758.17 and 13,851

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Solution

The fourth proportional to 24,461.60, 33,758.17 and 13,851 is: 19,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.60 : 33,758.17 = 13,851 : x
  2. Step 2: Convert to fraction form
    24,461.60/33,758.17 = 13,851/x
  3. Step 3: Cross multiply
    24,461.60x = 33,758.17 × 13,851
  4. Step 4: Simplify right side
    24,461.60x = 467,584,378.04
  5. Step 5: Solve for x
    x = 467,584,378.04/24,461.60
  6. Step 6: Final answer
    x = 19,115.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.