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Finding the Fourth Proportional to 12,047.57, 18,066.86 and 4,147.85

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Solution

The fourth proportional to 12,047.57, 18,066.86 and 4,147.85 is: 6,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,047.57 : 18,066.86 = 4,147.85 : x
  2. Step 2: Convert to fraction form
    12,047.57/18,066.86 = 4,147.85/x
  3. Step 3: Cross multiply
    12,047.57x = 18,066.86 × 4,147.85
  4. Step 4: Simplify right side
    12,047.57x = 74,938,665.23
  5. Step 5: Solve for x
    x = 74,938,665.23/12,047.57
  6. Step 6: Final answer
    x = 6,220.23

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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.