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Finding the Fourth Proportional to 12,101.52, 18,147.40 and 3,778.80

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Solution

The fourth proportional to 12,101.52, 18,147.40 and 3,778.80 is: 5,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.52 : 18,147.40 = 3,778.80 : x
  2. Step 2: Convert to fraction form
    12,101.52/18,147.40 = 3,778.80/x
  3. Step 3: Cross multiply
    12,101.52x = 18,147.40 × 3,778.80
  4. Step 4: Simplify right side
    12,101.52x = 68,575,395.12
  5. Step 5: Solve for x
    x = 68,575,395.12/12,101.52
  6. Step 6: Final answer
    x = 5,666.68

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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.