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Finding the Fourth Proportional to 21,129.64, 31,693.21 and 6,338.83

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Solution

The fourth proportional to 21,129.64, 31,693.21 and 6,338.83 is: 9,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.64 : 31,693.21 = 6,338.83 : x
  2. Step 2: Convert to fraction form
    21,129.64/31,693.21 = 6,338.83/x
  3. Step 3: Cross multiply
    21,129.64x = 31,693.21 × 6,338.83
  4. Step 4: Simplify right side
    21,129.64x = 200,897,870.34
  5. Step 5: Solve for x
    x = 200,897,870.34/21,129.64
  6. Step 6: Final answer
    x = 9,507.87

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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.