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Finding the Fourth Proportional to 21,872.81, 32,778.46 and 12,498.78

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Solution

The fourth proportional to 21,872.81, 32,778.46 and 12,498.78 is: 18,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.81 : 32,778.46 = 12,498.78 : x
  2. Step 2: Convert to fraction form
    21,872.81/32,778.46 = 12,498.78/x
  3. Step 3: Cross multiply
    21,872.81x = 32,778.46 × 12,498.78
  4. Step 4: Simplify right side
    21,872.81x = 409,690,789.06
  5. Step 5: Solve for x
    x = 409,690,789.06/21,872.81
  6. Step 6: Final answer
    x = 18,730.60

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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.