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Finding the Fourth Proportional to 20,894.47, 31,344.43 and 11,034.13

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Solution

The fourth proportional to 20,894.47, 31,344.43 and 11,034.13 is: 16,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.47 : 31,344.43 = 11,034.13 : x
  2. Step 2: Convert to fraction form
    20,894.47/31,344.43 = 11,034.13/x
  3. Step 3: Cross multiply
    20,894.47x = 31,344.43 × 11,034.13
  4. Step 4: Simplify right side
    20,894.47x = 345,858,515.40
  5. Step 5: Solve for x
    x = 345,858,515.40/20,894.47
  6. Step 6: Final answer
    x = 16,552.63

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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.