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Finding the Fourth Proportional to 13,380.79, 18,466 and 7,412.33

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Solution

The fourth proportional to 13,380.79, 18,466 and 7,412.33 is: 10,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.79 : 18,466 = 7,412.33 : x
  2. Step 2: Convert to fraction form
    13,380.79/18,466 = 7,412.33/x
  3. Step 3: Cross multiply
    13,380.79x = 18,466 × 7,412.33
  4. Step 4: Simplify right side
    13,380.79x = 136,876,085.78
  5. Step 5: Solve for x
    x = 136,876,085.78/13,380.79
  6. Step 6: Final answer
    x = 10,229.30

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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.