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Finding the Fourth Proportional to 24,198.16, 36,297.60 and 8,615.40

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Solution

The fourth proportional to 24,198.16, 36,297.60 and 8,615.40 is: 12,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.16 : 36,297.60 = 8,615.40 : x
  2. Step 2: Convert to fraction form
    24,198.16/36,297.60 = 8,615.40/x
  3. Step 3: Cross multiply
    24,198.16x = 36,297.60 × 8,615.40
  4. Step 4: Simplify right side
    24,198.16x = 312,718,343.04
  5. Step 5: Solve for x
    x = 312,718,343.04/24,198.16
  6. Step 6: Final answer
    x = 12,923.23

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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.