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Finding the Fourth Proportional to 12,324.08, 17,007.24 and 6,734.96

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Solution

The fourth proportional to 12,324.08, 17,007.24 and 6,734.96 is: 9,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.08 : 17,007.24 = 6,734.96 : x
  2. Step 2: Convert to fraction form
    12,324.08/17,007.24 = 6,734.96/x
  3. Step 3: Cross multiply
    12,324.08x = 17,007.24 × 6,734.96
  4. Step 4: Simplify right side
    12,324.08x = 114,543,081.11
  5. Step 5: Solve for x
    x = 114,543,081.11/12,324.08
  6. Step 6: Final answer
    x = 9,294.25

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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.