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Finding the Fourth Proportional to 12,091.64, 18,140.97 and 4,301.06

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Solution

The fourth proportional to 12,091.64, 18,140.97 and 4,301.06 is: 6,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.64 : 18,140.97 = 4,301.06 : x
  2. Step 2: Convert to fraction form
    12,091.64/18,140.97 = 4,301.06/x
  3. Step 3: Cross multiply
    12,091.64x = 18,140.97 × 4,301.06
  4. Step 4: Simplify right side
    12,091.64x = 78,025,400.43
  5. Step 5: Solve for x
    x = 78,025,400.43/12,091.64
  6. Step 6: Final answer
    x = 6,452.84

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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.