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Finding the Fourth Proportional to 17,201.65, 23,734.66 and 11,242.08

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Solution

The fourth proportional to 17,201.65, 23,734.66 and 11,242.08 is: 15,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,201.65 : 23,734.66 = 11,242.08 : x
  2. Step 2: Convert to fraction form
    17,201.65/23,734.66 = 11,242.08/x
  3. Step 3: Cross multiply
    17,201.65x = 23,734.66 × 11,242.08
  4. Step 4: Simplify right side
    17,201.65x = 266,826,946.49
  5. Step 5: Solve for x
    x = 266,826,946.49/17,201.65
  6. Step 6: Final answer
    x = 15,511.71

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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.