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Finding the Fourth Proportional to 24,711.76, 34,097.20 and 14,099.44

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Solution

The fourth proportional to 24,711.76, 34,097.20 and 14,099.44 is: 19,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,711.76 : 34,097.20 = 14,099.44 : x
  2. Step 2: Convert to fraction form
    24,711.76/34,097.20 = 14,099.44/x
  3. Step 3: Cross multiply
    24,711.76x = 34,097.20 × 14,099.44
  4. Step 4: Simplify right side
    24,711.76x = 480,751,425.57
  5. Step 5: Solve for x
    x = 480,751,425.57/24,711.76
  6. Step 6: Final answer
    x = 19,454.36

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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.