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Finding the Fourth Proportional to 23,115.71, 31,891.76 and 13,042.91

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Solution

The fourth proportional to 23,115.71, 31,891.76 and 13,042.91 is: 17,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.71 : 31,891.76 = 13,042.91 : x
  2. Step 2: Convert to fraction form
    23,115.71/31,891.76 = 13,042.91/x
  3. Step 3: Cross multiply
    23,115.71x = 31,891.76 × 13,042.91
  4. Step 4: Simplify right side
    23,115.71x = 415,961,290.21
  5. Step 5: Solve for x
    x = 415,961,290.21/23,115.71
  6. Step 6: Final answer
    x = 17,994.74

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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.