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Finding the Fourth Proportional to 24,182.18, 36,251.36 and 8,596.16

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Solution

The fourth proportional to 24,182.18, 36,251.36 and 8,596.16 is: 12,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.18 : 36,251.36 = 8,596.16 : x
  2. Step 2: Convert to fraction form
    24,182.18/36,251.36 = 8,596.16/x
  3. Step 3: Cross multiply
    24,182.18x = 36,251.36 × 8,596.16
  4. Step 4: Simplify right side
    24,182.18x = 311,622,309.52
  5. Step 5: Solve for x
    x = 311,622,309.52/24,182.18
  6. Step 6: Final answer
    x = 12,886.45

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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.