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Finding the Fourth Proportional to 16,546.56, 22,834.24 and 9,472.64

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Solution

The fourth proportional to 16,546.56, 22,834.24 and 9,472.64 is: 13,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.56 : 22,834.24 = 9,472.64 : x
  2. Step 2: Convert to fraction form
    16,546.56/22,834.24 = 9,472.64/x
  3. Step 3: Cross multiply
    16,546.56x = 22,834.24 × 9,472.64
  4. Step 4: Simplify right side
    16,546.56x = 216,300,535.19
  5. Step 5: Solve for x
    x = 216,300,535.19/16,546.56
  6. Step 6: Final answer
    x = 13,072.24

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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.