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Finding the Fourth Proportional to 12,381.57, 17,100.05 and 8,409.33

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Solution

The fourth proportional to 12,381.57, 17,100.05 and 8,409.33 is: 11,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.57 : 17,100.05 = 8,409.33 : x
  2. Step 2: Convert to fraction form
    12,381.57/17,100.05 = 8,409.33/x
  3. Step 3: Cross multiply
    12,381.57x = 17,100.05 × 8,409.33
  4. Step 4: Simplify right side
    12,381.57x = 143,799,921.42
  5. Step 5: Solve for x
    x = 143,799,921.42/12,381.57
  6. Step 6: Final answer
    x = 11,614.03

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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.