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Finding the Fourth Proportional to 22,149.47, 33,228.49 and 7,160.63

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Solution

The fourth proportional to 22,149.47, 33,228.49 and 7,160.63 is: 10,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.47 : 33,228.49 = 7,160.63 : x
  2. Step 2: Convert to fraction form
    22,149.47/33,228.49 = 7,160.63/x
  3. Step 3: Cross multiply
    22,149.47x = 33,228.49 × 7,160.63
  4. Step 4: Simplify right side
    22,149.47x = 237,936,922.35
  5. Step 5: Solve for x
    x = 237,936,922.35/22,149.47
  6. Step 6: Final answer
    x = 10,742.33

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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.