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Finding the Fourth Proportional to 22,123.74, 33,174.09 and 10,433.82

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Solution

The fourth proportional to 22,123.74, 33,174.09 and 10,433.82 is: 15,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.74 : 33,174.09 = 10,433.82 : x
  2. Step 2: Convert to fraction form
    22,123.74/33,174.09 = 10,433.82/x
  3. Step 3: Cross multiply
    22,123.74x = 33,174.09 × 10,433.82
  4. Step 4: Simplify right side
    22,123.74x = 346,132,483.72
  5. Step 5: Solve for x
    x = 346,132,483.72/22,123.74
  6. Step 6: Final answer
    x = 15,645.30

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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.