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Finding the Fourth Proportional to 27,142.96, 40,691.01 and 13,112.82

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Solution

The fourth proportional to 27,142.96, 40,691.01 and 13,112.82 is: 19,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.96 : 40,691.01 = 13,112.82 : x
  2. Step 2: Convert to fraction form
    27,142.96/40,691.01 = 13,112.82/x
  3. Step 3: Cross multiply
    27,142.96x = 40,691.01 × 13,112.82
  4. Step 4: Simplify right side
    27,142.96x = 533,573,865.16
  5. Step 5: Solve for x
    x = 533,573,865.16/27,142.96
  6. Step 6: Final answer
    x = 19,657.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.