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Finding the Fourth Proportional to 24,137.92, 36,212.16 and 7,498.24

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Solution

The fourth proportional to 24,137.92, 36,212.16 and 7,498.24 is: 11,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.92 : 36,212.16 = 7,498.24 : x
  2. Step 2: Convert to fraction form
    24,137.92/36,212.16 = 7,498.24/x
  3. Step 3: Cross multiply
    24,137.92x = 36,212.16 × 7,498.24
  4. Step 4: Simplify right side
    24,137.92x = 271,527,466.60
  5. Step 5: Solve for x
    x = 271,527,466.60/24,137.92
  6. Step 6: Final answer
    x = 11,249.00

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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.