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Finding the Fourth Proportional to 15,634.22, 23,434.92 and 5,767.20

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Solution

The fourth proportional to 15,634.22, 23,434.92 and 5,767.20 is: 8,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.22 : 23,434.92 = 5,767.20 : x
  2. Step 2: Convert to fraction form
    15,634.22/23,434.92 = 5,767.20/x
  3. Step 3: Cross multiply
    15,634.22x = 23,434.92 × 5,767.20
  4. Step 4: Simplify right side
    15,634.22x = 135,153,870.62
  5. Step 5: Solve for x
    x = 135,153,870.62/15,634.22
  6. Step 6: Final answer
    x = 8,644.75

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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.