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Finding the Fourth Proportional to 21,129.46, 31,691.74 and 5,548.30

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Solution

The fourth proportional to 21,129.46, 31,691.74 and 5,548.30 is: 8,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.46 : 31,691.74 = 5,548.30 : x
  2. Step 2: Convert to fraction form
    21,129.46/31,691.74 = 5,548.30/x
  3. Step 3: Cross multiply
    21,129.46x = 31,691.74 × 5,548.30
  4. Step 4: Simplify right side
    21,129.46x = 175,835,281.04
  5. Step 5: Solve for x
    x = 175,835,281.04/21,129.46
  6. Step 6: Final answer
    x = 8,321.81

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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.