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Finding the Fourth Proportional to 21,138.57, 31,657.33 and 11,755.28

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Solution

The fourth proportional to 21,138.57, 31,657.33 and 11,755.28 is: 17,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.57 : 31,657.33 = 11,755.28 : x
  2. Step 2: Convert to fraction form
    21,138.57/31,657.33 = 11,755.28/x
  3. Step 3: Cross multiply
    21,138.57x = 31,657.33 × 11,755.28
  4. Step 4: Simplify right side
    21,138.57x = 372,140,693.97
  5. Step 5: Solve for x
    x = 372,140,693.97/21,138.57
  6. Step 6: Final answer
    x = 17,604.82

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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.