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Finding the Fourth Proportional to 24,649.59, 36,974.34 and 5,929.61

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Solution

The fourth proportional to 24,649.59, 36,974.34 and 5,929.61 is: 8,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.59 : 36,974.34 = 5,929.61 : x
  2. Step 2: Convert to fraction form
    24,649.59/36,974.34 = 5,929.61/x
  3. Step 3: Cross multiply
    24,649.59x = 36,974.34 × 5,929.61
  4. Step 4: Simplify right side
    24,649.59x = 219,243,231.34
  5. Step 5: Solve for x
    x = 219,243,231.34/24,649.59
  6. Step 6: Final answer
    x = 8,894.40

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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.