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Finding the Fourth Proportional to 16,535.32, 22,817.16 and 9,365.56

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Solution

The fourth proportional to 16,535.32, 22,817.16 and 9,365.56 is: 12,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.32 : 22,817.16 = 9,365.56 : x
  2. Step 2: Convert to fraction form
    16,535.32/22,817.16 = 9,365.56/x
  3. Step 3: Cross multiply
    16,535.32x = 22,817.16 × 9,365.56
  4. Step 4: Simplify right side
    16,535.32x = 213,695,481.01
  5. Step 5: Solve for x
    x = 213,695,481.01/16,535.32
  6. Step 6: Final answer
    x = 12,923.58

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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.