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Finding the Fourth Proportional to 12,207.24, 16,845.96 and 6,618.24

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Solution

The fourth proportional to 12,207.24, 16,845.96 and 6,618.24 is: 9,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.24 : 16,845.96 = 6,618.24 : x
  2. Step 2: Convert to fraction form
    12,207.24/16,845.96 = 6,618.24/x
  3. Step 3: Cross multiply
    12,207.24x = 16,845.96 × 6,618.24
  4. Step 4: Simplify right side
    12,207.24x = 111,490,606.31
  5. Step 5: Solve for x
    x = 111,490,606.31/12,207.24
  6. Step 6: Final answer
    x = 9,133.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.