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Finding the Fourth Proportional to 14,523.68, 21,785.52 and 5,765.96

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Solution

The fourth proportional to 14,523.68, 21,785.52 and 5,765.96 is: 8,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.68 : 21,785.52 = 5,765.96 : x
  2. Step 2: Convert to fraction form
    14,523.68/21,785.52 = 5,765.96/x
  3. Step 3: Cross multiply
    14,523.68x = 21,785.52 × 5,765.96
  4. Step 4: Simplify right side
    14,523.68x = 125,614,436.90
  5. Step 5: Solve for x
    x = 125,614,436.90/14,523.68
  6. Step 6: Final answer
    x = 8,648.94

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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.