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Finding the Fourth Proportional to 12,191.82, 18,295.47 and 6,648.68

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Solution

The fourth proportional to 12,191.82, 18,295.47 and 6,648.68 is: 9,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.82 : 18,295.47 = 6,648.68 : x
  2. Step 2: Convert to fraction form
    12,191.82/18,295.47 = 6,648.68/x
  3. Step 3: Cross multiply
    12,191.82x = 18,295.47 × 6,648.68
  4. Step 4: Simplify right side
    12,191.82x = 121,640,771.22
  5. Step 5: Solve for x
    x = 121,640,771.22/12,191.82
  6. Step 6: Final answer
    x = 9,977.25

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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.