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Finding the Fourth Proportional to 21,046.42, 31,581.24 and 8,575.12

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Solution

The fourth proportional to 21,046.42, 31,581.24 and 8,575.12 is: 12,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.42 : 31,581.24 = 8,575.12 : x
  2. Step 2: Convert to fraction form
    21,046.42/31,581.24 = 8,575.12/x
  3. Step 3: Cross multiply
    21,046.42x = 31,581.24 × 8,575.12
  4. Step 4: Simplify right side
    21,046.42x = 270,812,922.75
  5. Step 5: Solve for x
    x = 270,812,922.75/21,046.42
  6. Step 6: Final answer
    x = 12,867.41

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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.