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Finding the Fourth Proportional to 24,048.78, 36,047.16 and 8,239.20

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Solution

The fourth proportional to 24,048.78, 36,047.16 and 8,239.20 is: 12,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048.78 : 36,047.16 = 8,239.20 : x
  2. Step 2: Convert to fraction form
    24,048.78/36,047.16 = 8,239.20/x
  3. Step 3: Cross multiply
    24,048.78x = 36,047.16 × 8,239.20
  4. Step 4: Simplify right side
    24,048.78x = 296,999,760.67
  5. Step 5: Solve for x
    x = 296,999,760.67/24,048.78
  6. Step 6: Final answer
    x = 12,349.89

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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.