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Finding the Fourth Proportional to 12,816.57, 17,660.64 and 9,454.08

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Solution

The fourth proportional to 12,816.57, 17,660.64 and 9,454.08 is: 13,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.57 : 17,660.64 = 9,454.08 : x
  2. Step 2: Convert to fraction form
    12,816.57/17,660.64 = 9,454.08/x
  3. Step 3: Cross multiply
    12,816.57x = 17,660.64 × 9,454.08
  4. Step 4: Simplify right side
    12,816.57x = 166,965,103.41
  5. Step 5: Solve for x
    x = 166,965,103.41/12,816.57
  6. Step 6: Final answer
    x = 13,027.28

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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.