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Finding the Fourth Proportional to 12,170.80, 18,256.20 and 10,129.60

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Solution

The fourth proportional to 12,170.80, 18,256.20 and 10,129.60 is: 15,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.80 : 18,256.20 = 10,129.60 : x
  2. Step 2: Convert to fraction form
    12,170.80/18,256.20 = 10,129.60/x
  3. Step 3: Cross multiply
    12,170.80x = 18,256.20 × 10,129.60
  4. Step 4: Simplify right side
    12,170.80x = 184,928,003.52
  5. Step 5: Solve for x
    x = 184,928,003.52/12,170.80
  6. Step 6: Final answer
    x = 15,194.40

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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.