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Finding the Fourth Proportional to 12,149.90, 18,214.12 and 4,749.19

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Solution

The fourth proportional to 12,149.90, 18,214.12 and 4,749.19 is: 7,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.90 : 18,214.12 = 4,749.19 : x
  2. Step 2: Convert to fraction form
    12,149.90/18,214.12 = 4,749.19/x
  3. Step 3: Cross multiply
    12,149.90x = 18,214.12 × 4,749.19
  4. Step 4: Simplify right side
    12,149.90x = 86,502,201.75
  5. Step 5: Solve for x
    x = 86,502,201.75/12,149.90
  6. Step 6: Final answer
    x = 7,119.58

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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.