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Finding the Fourth Proportional to 12,546.43, 18,710 and 10,993.66

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Solution

The fourth proportional to 12,546.43, 18,710 and 10,993.66 is: 16,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.43 : 18,710 = 10,993.66 : x
  2. Step 2: Convert to fraction form
    12,546.43/18,710 = 10,993.66/x
  3. Step 3: Cross multiply
    12,546.43x = 18,710 × 10,993.66
  4. Step 4: Simplify right side
    12,546.43x = 205,691,378.60
  5. Step 5: Solve for x
    x = 205,691,378.60/12,546.43
  6. Step 6: Final answer
    x = 16,394.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.