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Finding the Fourth Proportional to 22,174.30, 33,260.52 and 10,324

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Solution

The fourth proportional to 22,174.30, 33,260.52 and 10,324 is: 15,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174.30 : 33,260.52 = 10,324 : x
  2. Step 2: Convert to fraction form
    22,174.30/33,260.52 = 10,324/x
  3. Step 3: Cross multiply
    22,174.30x = 33,260.52 × 10,324
  4. Step 4: Simplify right side
    22,174.30x = 343,381,608.48
  5. Step 5: Solve for x
    x = 343,381,608.48/22,174.30
  6. Step 6: Final answer
    x = 15,485.57

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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.