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Finding the Fourth Proportional to 24,198.41, 36,298.98 and 8,616.03

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Solution

The fourth proportional to 24,198.41, 36,298.98 and 8,616.03 is: 12,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.41 : 36,298.98 = 8,616.03 : x
  2. Step 2: Convert to fraction form
    24,198.41/36,298.98 = 8,616.03/x
  3. Step 3: Cross multiply
    24,198.41x = 36,298.98 × 8,616.03
  4. Step 4: Simplify right side
    24,198.41x = 312,753,113.71
  5. Step 5: Solve for x
    x = 312,753,113.71/24,198.41
  6. Step 6: Final answer
    x = 12,924.53

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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.