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Finding the Fourth Proportional to 17,877.60, 24,675.75 and 11,508.57

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Solution

The fourth proportional to 17,877.60, 24,675.75 and 11,508.57 is: 15,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.60 : 24,675.75 = 11,508.57 : x
  2. Step 2: Convert to fraction form
    17,877.60/24,675.75 = 11,508.57/x
  3. Step 3: Cross multiply
    17,877.60x = 24,675.75 × 11,508.57
  4. Step 4: Simplify right side
    17,877.60x = 283,982,596.18
  5. Step 5: Solve for x
    x = 283,982,596.18/17,877.60
  6. Step 6: Final answer
    x = 15,884.83

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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.