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Finding the Fourth Proportional to 16,772.16, 23,147.67 and 9,698.54

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Solution

The fourth proportional to 16,772.16, 23,147.67 and 9,698.54 is: 13,385.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.16 : 23,147.67 = 9,698.54 : x
  2. Step 2: Convert to fraction form
    16,772.16/23,147.67 = 9,698.54/x
  3. Step 3: Cross multiply
    16,772.16x = 23,147.67 × 9,698.54
  4. Step 4: Simplify right side
    16,772.16x = 224,498,524.03
  5. Step 5: Solve for x
    x = 224,498,524.03/16,772.16
  6. Step 6: Final answer
    x = 13,385.19

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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.