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Finding the Fourth Proportional to 24,049.78, 36,048.66 and 8,240.20

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Solution

The fourth proportional to 24,049.78, 36,048.66 and 8,240.20 is: 12,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.78 : 36,048.66 = 8,240.20 : x
  2. Step 2: Convert to fraction form
    24,049.78/36,048.66 = 8,240.20/x
  3. Step 3: Cross multiply
    24,049.78x = 36,048.66 × 8,240.20
  4. Step 4: Simplify right side
    24,049.78x = 297,048,168.13
  5. Step 5: Solve for x
    x = 297,048,168.13/24,049.78
  6. Step 6: Final answer
    x = 12,351.39

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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.