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Finding the Fourth Proportional to 16,262.30, 22,441.69 and 9,188.57

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Solution

The fourth proportional to 16,262.30, 22,441.69 and 9,188.57 is: 12,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.30 : 22,441.69 = 9,188.57 : x
  2. Step 2: Convert to fraction form
    16,262.30/22,441.69 = 9,188.57/x
  3. Step 3: Cross multiply
    16,262.30x = 22,441.69 × 9,188.57
  4. Step 4: Simplify right side
    16,262.30x = 206,207,123.31
  5. Step 5: Solve for x
    x = 206,207,123.31/16,262.30
  6. Step 6: Final answer
    x = 12,680.07

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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.