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Finding the Fourth Proportional to 22,734.87, 34,110.50 and 11,646.78

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Solution

The fourth proportional to 22,734.87, 34,110.50 and 11,646.78 is: 17,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.87 : 34,110.50 = 11,646.78 : x
  2. Step 2: Convert to fraction form
    22,734.87/34,110.50 = 11,646.78/x
  3. Step 3: Cross multiply
    22,734.87x = 34,110.50 × 11,646.78
  4. Step 4: Simplify right side
    22,734.87x = 397,277,430.96
  5. Step 5: Solve for x
    x = 397,277,430.96/22,734.87
  6. Step 6: Final answer
    x = 17,474.37

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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.