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Finding the Fourth Proportional to 22,649.72, 33,949.71 and 10,152.53

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Solution

The fourth proportional to 22,649.72, 33,949.71 and 10,152.53 is: 15,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.72 : 33,949.71 = 10,152.53 : x
  2. Step 2: Convert to fraction form
    22,649.72/33,949.71 = 10,152.53/x
  3. Step 3: Cross multiply
    22,649.72x = 33,949.71 × 10,152.53
  4. Step 4: Simplify right side
    22,649.72x = 344,675,279.52
  5. Step 5: Solve for x
    x = 344,675,279.52/22,649.72
  6. Step 6: Final answer
    x = 15,217.64

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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.