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Finding the Fourth Proportional to 12,596.16, 17,382.72 and 7,007.04

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Solution

The fourth proportional to 12,596.16, 17,382.72 and 7,007.04 is: 9,669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.16 : 17,382.72 = 7,007.04 : x
  2. Step 2: Convert to fraction form
    12,596.16/17,382.72 = 7,007.04/x
  3. Step 3: Cross multiply
    12,596.16x = 17,382.72 × 7,007.04
  4. Step 4: Simplify right side
    12,596.16x = 121,801,414.35
  5. Step 5: Solve for x
    x = 121,801,414.35/12,596.16
  6. Step 6: Final answer
    x = 9,669.73

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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.