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Finding the Fourth Proportional to 24,508.22, 36,758.86 and 7,869.69

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Solution

The fourth proportional to 24,508.22, 36,758.86 and 7,869.69 is: 11,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.22 : 36,758.86 = 7,869.69 : x
  2. Step 2: Convert to fraction form
    24,508.22/36,758.86 = 7,869.69/x
  3. Step 3: Cross multiply
    24,508.22x = 36,758.86 × 7,869.69
  4. Step 4: Simplify right side
    24,508.22x = 289,280,813.28
  5. Step 5: Solve for x
    x = 289,280,813.28/24,508.22
  6. Step 6: Final answer
    x = 11,803.42

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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.