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Finding the Fourth Proportional to 23,689.35, 32,691.10 and 13,078.75

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Solution

The fourth proportional to 23,689.35, 32,691.10 and 13,078.75 is: 18,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.35 : 32,691.10 = 13,078.75 : x
  2. Step 2: Convert to fraction form
    23,689.35/32,691.10 = 13,078.75/x
  3. Step 3: Cross multiply
    23,689.35x = 32,691.10 × 13,078.75
  4. Step 4: Simplify right side
    23,689.35x = 427,558,658.73
  5. Step 5: Solve for x
    x = 427,558,658.73/23,689.35
  6. Step 6: Final answer
    x = 18,048.56

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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.