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Finding the Fourth Proportional to 24,649.39, 36,974.06 and 5,929.42

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Solution

The fourth proportional to 24,649.39, 36,974.06 and 5,929.42 is: 8,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.39 : 36,974.06 = 5,929.42 : x
  2. Step 2: Convert to fraction form
    24,649.39/36,974.06 = 5,929.42/x
  3. Step 3: Cross multiply
    24,649.39x = 36,974.06 × 5,929.42
  4. Step 4: Simplify right side
    24,649.39x = 219,234,730.85
  5. Step 5: Solve for x
    x = 219,234,730.85/24,649.39
  6. Step 6: Final answer
    x = 8,894.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.