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Finding the Fourth Proportional to 27,142.96, 40,760.69 and 17,671.41

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Solution

The fourth proportional to 27,142.96, 40,760.69 and 17,671.41 is: 26,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.96 : 40,760.69 = 17,671.41 : x
  2. Step 2: Convert to fraction form
    27,142.96/40,760.69 = 17,671.41/x
  3. Step 3: Cross multiply
    27,142.96x = 40,760.69 × 17,671.41
  4. Step 4: Simplify right side
    27,142.96x = 720,298,966.77
  5. Step 5: Solve for x
    x = 720,298,966.77/27,142.96
  6. Step 6: Final answer
    x = 26,537.23

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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.