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Finding the Fourth Proportional to 24,329.76, 36,511.20 and 8,748.96

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Solution

The fourth proportional to 24,329.76, 36,511.20 and 8,748.96 is: 13,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329.76 : 36,511.20 = 8,748.96 : x
  2. Step 2: Convert to fraction form
    24,329.76/36,511.20 = 8,748.96/x
  3. Step 3: Cross multiply
    24,329.76x = 36,511.20 × 8,748.96
  4. Step 4: Simplify right side
    24,329.76x = 319,435,028.35
  5. Step 5: Solve for x
    x = 319,435,028.35/24,329.76
  6. Step 6: Final answer
    x = 13,129.39

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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.