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Finding the Fourth Proportional to 16,202.44, 22,358.86 and 9,128.71

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Solution

The fourth proportional to 16,202.44, 22,358.86 and 9,128.71 is: 12,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.44 : 22,358.86 = 9,128.71 : x
  2. Step 2: Convert to fraction form
    16,202.44/22,358.86 = 9,128.71/x
  3. Step 3: Cross multiply
    16,202.44x = 22,358.86 × 9,128.71
  4. Step 4: Simplify right side
    16,202.44x = 204,107,548.87
  5. Step 5: Solve for x
    x = 204,107,548.87/16,202.44
  6. Step 6: Final answer
    x = 12,597.33

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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.