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Finding the Fourth Proportional to 24,523.24, 36,761.82 and 12,844.12

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Solution

The fourth proportional to 24,523.24, 36,761.82 and 12,844.12 is: 19,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.24 : 36,761.82 = 12,844.12 : x
  2. Step 2: Convert to fraction form
    24,523.24/36,761.82 = 12,844.12/x
  3. Step 3: Cross multiply
    24,523.24x = 36,761.82 × 12,844.12
  4. Step 4: Simplify right side
    24,523.24x = 472,173,227.50
  5. Step 5: Solve for x
    x = 472,173,227.50/24,523.24
  6. Step 6: Final answer
    x = 19,254.11

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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.