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Finding the Fourth Proportional to 13,418.80, 20,147.40 and 7,586.80

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Solution

The fourth proportional to 13,418.80, 20,147.40 and 7,586.80 is: 11,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.80 : 20,147.40 = 7,586.80 : x
  2. Step 2: Convert to fraction form
    13,418.80/20,147.40 = 7,586.80/x
  3. Step 3: Cross multiply
    13,418.80x = 20,147.40 × 7,586.80
  4. Step 4: Simplify right side
    13,418.80x = 152,854,294.32
  5. Step 5: Solve for x
    x = 152,854,294.32/13,418.80
  6. Step 6: Final answer
    x = 11,391.06

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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.