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Finding the Fourth Proportional to 24,052.68, 33,191.55 and 13,297.14

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Solution

The fourth proportional to 24,052.68, 33,191.55 and 13,297.14 is: 18,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.68 : 33,191.55 = 13,297.14 : x
  2. Step 2: Convert to fraction form
    24,052.68/33,191.55 = 13,297.14/x
  3. Step 3: Cross multiply
    24,052.68x = 33,191.55 × 13,297.14
  4. Step 4: Simplify right side
    24,052.68x = 441,352,687.17
  5. Step 5: Solve for x
    x = 441,352,687.17/24,052.68
  6. Step 6: Final answer
    x = 18,349.42

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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.