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Finding the Fourth Proportional to 16,262.49, 22,441.01 and 9,189.57

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Solution

The fourth proportional to 16,262.49, 22,441.01 and 9,189.57 is: 12,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.49 : 22,441.01 = 9,189.57 : x
  2. Step 2: Convert to fraction form
    16,262.49/22,441.01 = 9,189.57/x
  3. Step 3: Cross multiply
    16,262.49x = 22,441.01 × 9,189.57
  4. Step 4: Simplify right side
    16,262.49x = 206,223,186.32
  5. Step 5: Solve for x
    x = 206,223,186.32/16,262.49
  6. Step 6: Final answer
    x = 12,680.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.