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Finding the Fourth Proportional to 21,854.96, 32,787.23 and 7,065.38

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Solution

The fourth proportional to 21,854.96, 32,787.23 and 7,065.38 is: 10,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.96 : 32,787.23 = 7,065.38 : x
  2. Step 2: Convert to fraction form
    21,854.96/32,787.23 = 7,065.38/x
  3. Step 3: Cross multiply
    21,854.96x = 32,787.23 × 7,065.38
  4. Step 4: Simplify right side
    21,854.96x = 231,654,141.05
  5. Step 5: Solve for x
    x = 231,654,141.05/21,854.96
  6. Step 6: Final answer
    x = 10,599.61

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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.