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Finding the Fourth Proportional to 21,229.16, 31,842.12 and 8,746

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Solution

The fourth proportional to 21,229.16, 31,842.12 and 8,746 is: 13,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.16 : 31,842.12 = 8,746 : x
  2. Step 2: Convert to fraction form
    21,229.16/31,842.12 = 8,746/x
  3. Step 3: Cross multiply
    21,229.16x = 31,842.12 × 8,746
  4. Step 4: Simplify right side
    21,229.16x = 278,491,181.52
  5. Step 5: Solve for x
    x = 278,491,181.52/21,229.16
  6. Step 6: Final answer
    x = 13,118.33

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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.