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Finding the Fourth Proportional to 24,126, 36,208.44 and 12,442.56

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Solution

The fourth proportional to 24,126, 36,208.44 and 12,442.56 is: 18,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126 : 36,208.44 = 12,442.56 : x
  2. Step 2: Convert to fraction form
    24,126/36,208.44 = 12,442.56/x
  3. Step 3: Cross multiply
    24,126x = 36,208.44 × 12,442.56
  4. Step 4: Simplify right side
    24,126x = 450,525,687.21
  5. Step 5: Solve for x
    x = 450,525,687.21/24,126
  6. Step 6: Final answer
    x = 18,673.87

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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.