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Finding the Fourth Proportional to 23,691.33, 32,691.39 and 13,078.31

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Solution

The fourth proportional to 23,691.33, 32,691.39 and 13,078.31 is: 18,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.33 : 32,691.39 = 13,078.31 : x
  2. Step 2: Convert to fraction form
    23,691.33/32,691.39 = 13,078.31/x
  3. Step 3: Cross multiply
    23,691.33x = 32,691.39 × 13,078.31
  4. Step 4: Simplify right side
    23,691.33x = 427,547,969.29
  5. Step 5: Solve for x
    x = 427,547,969.29/23,691.33
  6. Step 6: Final answer
    x = 18,046.60

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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.