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Finding the Fourth Proportional to 16,454.78, 22,707.60 and 9,286.22

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Solution

The fourth proportional to 16,454.78, 22,707.60 and 9,286.22 is: 12,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.78 : 22,707.60 = 9,286.22 : x
  2. Step 2: Convert to fraction form
    16,454.78/22,707.60 = 9,286.22/x
  3. Step 3: Cross multiply
    16,454.78x = 22,707.60 × 9,286.22
  4. Step 4: Simplify right side
    16,454.78x = 210,867,609.30
  5. Step 5: Solve for x
    x = 210,867,609.30/16,454.78
  6. Step 6: Final answer
    x = 12,814.98

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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.