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Finding the Fourth Proportional to 24,143.30, 36,217.31 and 7,498.86

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Solution

The fourth proportional to 24,143.30, 36,217.31 and 7,498.86 is: 11,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.30 : 36,217.31 = 7,498.86 : x
  2. Step 2: Convert to fraction form
    24,143.30/36,217.31 = 7,498.86/x
  3. Step 3: Cross multiply
    24,143.30x = 36,217.31 × 7,498.86
  4. Step 4: Simplify right side
    24,143.30x = 271,588,499.77
  5. Step 5: Solve for x
    x = 271,588,499.77/24,143.30
  6. Step 6: Final answer
    x = 11,249.02

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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.