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Finding the Fourth Proportional to 24,182.32, 36,251.62 and 8,596.30

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Solution

The fourth proportional to 24,182.32, 36,251.62 and 8,596.30 is: 12,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.32 : 36,251.62 = 8,596.30 : x
  2. Step 2: Convert to fraction form
    24,182.32/36,251.62 = 8,596.30/x
  3. Step 3: Cross multiply
    24,182.32x = 36,251.62 × 8,596.30
  4. Step 4: Simplify right side
    24,182.32x = 311,629,801.01
  5. Step 5: Solve for x
    x = 311,629,801.01/24,182.32
  6. Step 6: Final answer
    x = 12,886.68

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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.