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Finding the Fourth Proportional to 12,144.93, 18,203.72 and 6,205.20

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Solution

The fourth proportional to 12,144.93, 18,203.72 and 6,205.20 is: 9,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.93 : 18,203.72 = 6,205.20 : x
  2. Step 2: Convert to fraction form
    12,144.93/18,203.72 = 6,205.20/x
  3. Step 3: Cross multiply
    12,144.93x = 18,203.72 × 6,205.20
  4. Step 4: Simplify right side
    12,144.93x = 112,957,723.34
  5. Step 5: Solve for x
    x = 112,957,723.34/12,144.93
  6. Step 6: Final answer
    x = 9,300.81

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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.