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Finding the Fourth Proportional to 21,171.70, 31,757.61 and 7,141.58

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Solution

The fourth proportional to 21,171.70, 31,757.61 and 7,141.58 is: 10,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,171.70 : 31,757.61 = 7,141.58 : x
  2. Step 2: Convert to fraction form
    21,171.70/31,757.61 = 7,141.58/x
  3. Step 3: Cross multiply
    21,171.70x = 31,757.61 × 7,141.58
  4. Step 4: Simplify right side
    21,171.70x = 226,799,512.42
  5. Step 5: Solve for x
    x = 226,799,512.42/21,171.70
  6. Step 6: Final answer
    x = 10,712.39

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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.