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Finding the Fourth Proportional to 23,116.68, 34,684.20 and 7,534.44

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Solution

The fourth proportional to 23,116.68, 34,684.20 and 7,534.44 is: 11,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.68 : 34,684.20 = 7,534.44 : x
  2. Step 2: Convert to fraction form
    23,116.68/34,684.20 = 7,534.44/x
  3. Step 3: Cross multiply
    23,116.68x = 34,684.20 × 7,534.44
  4. Step 4: Simplify right side
    23,116.68x = 261,326,023.85
  5. Step 5: Solve for x
    x = 261,326,023.85/23,116.68
  6. Step 6: Final answer
    x = 11,304.65

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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.