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Finding the Fourth Proportional to 12,103.52, 18,150.40 and 3,780.80

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Solution

The fourth proportional to 12,103.52, 18,150.40 and 3,780.80 is: 5,669.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.52 : 18,150.40 = 3,780.80 : x
  2. Step 2: Convert to fraction form
    12,103.52/18,150.40 = 3,780.80/x
  3. Step 3: Cross multiply
    12,103.52x = 18,150.40 × 3,780.80
  4. Step 4: Simplify right side
    12,103.52x = 68,623,032.32
  5. Step 5: Solve for x
    x = 68,623,032.32/12,103.52
  6. Step 6: Final answer
    x = 5,669.68

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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.