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Finding the Fourth Proportional to 13,833.01, 20,755.60 and 7,257.65

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Solution

The fourth proportional to 13,833.01, 20,755.60 and 7,257.65 is: 10,889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.01 : 20,755.60 = 7,257.65 : x
  2. Step 2: Convert to fraction form
    13,833.01/20,755.60 = 7,257.65/x
  3. Step 3: Cross multiply
    13,833.01x = 20,755.60 × 7,257.65
  4. Step 4: Simplify right side
    13,833.01x = 150,636,758.42
  5. Step 5: Solve for x
    x = 150,636,758.42/13,833.01
  6. Step 6: Final answer
    x = 10,889.66

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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.