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Finding the Fourth Proportional to 12,816.74, 17,660.85 and 9,454.23

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Solution

The fourth proportional to 12,816.74, 17,660.85 and 9,454.23 is: 13,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.74 : 17,660.85 = 9,454.23 : x
  2. Step 2: Convert to fraction form
    12,816.74/17,660.85 = 9,454.23/x
  3. Step 3: Cross multiply
    12,816.74x = 17,660.85 × 9,454.23
  4. Step 4: Simplify right side
    12,816.74x = 166,969,737.90
  5. Step 5: Solve for x
    x = 166,969,737.90/12,816.74
  6. Step 6: Final answer
    x = 13,027.47

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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.