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Finding the Fourth Proportional to 12,047.20, 18,070.78 and 6,205.48

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Solution

The fourth proportional to 12,047.20, 18,070.78 and 6,205.48 is: 9,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.20 : 18,070.78 = 6,205.48 : x
  2. Step 2: Convert to fraction form
    12,047.20/18,070.78 = 6,205.48/x
  3. Step 3: Cross multiply
    12,047.20x = 18,070.78 × 6,205.48
  4. Step 4: Simplify right side
    12,047.20x = 112,137,863.87
  5. Step 5: Solve for x
    x = 112,137,863.87/12,047.20
  6. Step 6: Final answer
    x = 9,308.21

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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.