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Finding the Fourth Proportional to 12,128.80, 18,212.40 and 8,864.80

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Solution

The fourth proportional to 12,128.80, 18,212.40 and 8,864.80 is: 13,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.80 : 18,212.40 = 8,864.80 : x
  2. Step 2: Convert to fraction form
    12,128.80/18,212.40 = 8,864.80/x
  3. Step 3: Cross multiply
    12,128.80x = 18,212.40 × 8,864.80
  4. Step 4: Simplify right side
    12,128.80x = 161,449,283.52
  5. Step 5: Solve for x
    x = 161,449,283.52/12,128.80
  6. Step 6: Final answer
    x = 13,311.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.