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Finding the Fourth Proportional to 24,130.99, 36,198.17 and 7,488.80

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Solution

The fourth proportional to 24,130.99, 36,198.17 and 7,488.80 is: 11,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130.99 : 36,198.17 = 7,488.80 : x
  2. Step 2: Convert to fraction form
    24,130.99/36,198.17 = 7,488.80/x
  3. Step 3: Cross multiply
    24,130.99x = 36,198.17 × 7,488.80
  4. Step 4: Simplify right side
    24,130.99x = 271,080,855.50
  5. Step 5: Solve for x
    x = 271,080,855.50/24,130.99
  6. Step 6: Final answer
    x = 11,233.72

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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.