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Finding the Fourth Proportional to 17,432.14, 24,052.46 and 9,877.82

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Solution

The fourth proportional to 17,432.14, 24,052.46 and 9,877.82 is: 13,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,432.14 : 24,052.46 = 9,877.82 : x
  2. Step 2: Convert to fraction form
    17,432.14/24,052.46 = 9,877.82/x
  3. Step 3: Cross multiply
    17,432.14x = 24,052.46 × 9,877.82
  4. Step 4: Simplify right side
    17,432.14x = 237,585,870.44
  5. Step 5: Solve for x
    x = 237,585,870.44/17,432.14
  6. Step 6: Final answer
    x = 13,629.19

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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.