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Finding the Fourth Proportional to 24,395.72, 36,583.20 and 7,751.30

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Solution

The fourth proportional to 24,395.72, 36,583.20 and 7,751.30 is: 11,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.72 : 36,583.20 = 7,751.30 : x
  2. Step 2: Convert to fraction form
    24,395.72/36,583.20 = 7,751.30/x
  3. Step 3: Cross multiply
    24,395.72x = 36,583.20 × 7,751.30
  4. Step 4: Simplify right side
    24,395.72x = 283,567,175.24
  5. Step 5: Solve for x
    x = 283,567,175.24/24,395.72
  6. Step 6: Final answer
    x = 11,623.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.