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Finding the Fourth Proportional to 12,161.60, 18,242.24 and 8,409.76

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Solution

The fourth proportional to 12,161.60, 18,242.24 and 8,409.76 is: 12,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.60 : 18,242.24 = 8,409.76 : x
  2. Step 2: Convert to fraction form
    12,161.60/18,242.24 = 8,409.76/x
  3. Step 3: Cross multiply
    12,161.60x = 18,242.24 × 8,409.76
  4. Step 4: Simplify right side
    12,161.60x = 153,412,860.26
  5. Step 5: Solve for x
    x = 153,412,860.26/12,161.60
  6. Step 6: Final answer
    x = 12,614.53

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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.