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Finding the Fourth Proportional to 24,709.68, 34,097.04 and 14,635.44

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Solution

The fourth proportional to 24,709.68, 34,097.04 and 14,635.44 is: 20,195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.68 : 34,097.04 = 14,635.44 : x
  2. Step 2: Convert to fraction form
    24,709.68/34,097.04 = 14,635.44/x
  3. Step 3: Cross multiply
    24,709.68x = 34,097.04 × 14,635.44
  4. Step 4: Simplify right side
    24,709.68x = 499,025,183.10
  5. Step 5: Solve for x
    x = 499,025,183.10/24,709.68
  6. Step 6: Final answer
    x = 20,195.53

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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.