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Finding the Fourth Proportional to 24,344.10, 36,516.24 and 6,813.90

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Solution

The fourth proportional to 24,344.10, 36,516.24 and 6,813.90 is: 10,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344.10 : 36,516.24 = 6,813.90 : x
  2. Step 2: Convert to fraction form
    24,344.10/36,516.24 = 6,813.90/x
  3. Step 3: Cross multiply
    24,344.10x = 36,516.24 × 6,813.90
  4. Step 4: Simplify right side
    24,344.10x = 248,818,007.74
  5. Step 5: Solve for x
    x = 248,818,007.74/24,344.10
  6. Step 6: Final answer
    x = 10,220.88

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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.