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Finding the Fourth Proportional to 12,194.80, 18,262.34 and 10,073.45

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Solution

The fourth proportional to 12,194.80, 18,262.34 and 10,073.45 is: 15,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.80 : 18,262.34 = 10,073.45 : x
  2. Step 2: Convert to fraction form
    12,194.80/18,262.34 = 10,073.45/x
  3. Step 3: Cross multiply
    12,194.80x = 18,262.34 × 10,073.45
  4. Step 4: Simplify right side
    12,194.80x = 183,964,755.87
  5. Step 5: Solve for x
    x = 183,964,755.87/12,194.80
  6. Step 6: Final answer
    x = 15,085.51

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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.