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Finding the Fourth Proportional to 17,115.76, 23,596.14 and 16,743.16

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Solution

The fourth proportional to 17,115.76, 23,596.14 and 16,743.16 is: 23,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.76 : 23,596.14 = 16,743.16 : x
  2. Step 2: Convert to fraction form
    17,115.76/23,596.14 = 16,743.16/x
  3. Step 3: Cross multiply
    17,115.76x = 23,596.14 × 16,743.16
  4. Step 4: Simplify right side
    17,115.76x = 395,073,947.40
  5. Step 5: Solve for x
    x = 395,073,947.40/17,115.76
  6. Step 6: Final answer
    x = 23,082.47

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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.