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Finding the Fourth Proportional to 24,326.31, 36,474.84 and 9,517.59

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Solution

The fourth proportional to 24,326.31, 36,474.84 and 9,517.59 is: 14,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326.31 : 36,474.84 = 9,517.59 : x
  2. Step 2: Convert to fraction form
    24,326.31/36,474.84 = 9,517.59/x
  3. Step 3: Cross multiply
    24,326.31x = 36,474.84 × 9,517.59
  4. Step 4: Simplify right side
    24,326.31x = 347,152,572.44
  5. Step 5: Solve for x
    x = 347,152,572.44/24,326.31
  6. Step 6: Final answer
    x = 14,270.66

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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.