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Finding the Fourth Proportional to 21,281.33, 31,922 and 6,489.92

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Solution

The fourth proportional to 21,281.33, 31,922 and 6,489.92 is: 9,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.33 : 31,922 = 6,489.92 : x
  2. Step 2: Convert to fraction form
    21,281.33/31,922 = 6,489.92/x
  3. Step 3: Cross multiply
    21,281.33x = 31,922 × 6,489.92
  4. Step 4: Simplify right side
    21,281.33x = 207,171,226.24
  5. Step 5: Solve for x
    x = 207,171,226.24/21,281.33
  6. Step 6: Final answer
    x = 9,734.88

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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.