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Finding the Fourth Proportional to 21,854.38, 32,787.33 and 7,815.80

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Solution

The fourth proportional to 21,854.38, 32,787.33 and 7,815.80 is: 11,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.38 : 32,787.33 = 7,815.80 : x
  2. Step 2: Convert to fraction form
    21,854.38/32,787.33 = 7,815.80/x
  3. Step 3: Cross multiply
    21,854.38x = 32,787.33 × 7,815.80
  4. Step 4: Simplify right side
    21,854.38x = 256,259,010.80
  5. Step 5: Solve for x
    x = 256,259,010.80/21,854.38
  6. Step 6: Final answer
    x = 11,725.75

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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.