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Finding the Fourth Proportional to 24,751.44, 37,122.84 and 12,267.36

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Solution

The fourth proportional to 24,751.44, 37,122.84 and 12,267.36 is: 18,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.44 : 37,122.84 = 12,267.36 : x
  2. Step 2: Convert to fraction form
    24,751.44/37,122.84 = 12,267.36/x
  3. Step 3: Cross multiply
    24,751.44x = 37,122.84 × 12,267.36
  4. Step 4: Simplify right side
    24,751.44x = 455,399,242.50
  5. Step 5: Solve for x
    x = 455,399,242.50/24,751.44
  6. Step 6: Final answer
    x = 18,398.90

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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.