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Finding the Fourth Proportional to 17,214.92, 23,751.42 and 10,138.76

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Solution

The fourth proportional to 17,214.92, 23,751.42 and 10,138.76 is: 13,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.92 : 23,751.42 = 10,138.76 : x
  2. Step 2: Convert to fraction form
    17,214.92/23,751.42 = 10,138.76/x
  3. Step 3: Cross multiply
    17,214.92x = 23,751.42 × 10,138.76
  4. Step 4: Simplify right side
    17,214.92x = 240,809,947.04
  5. Step 5: Solve for x
    x = 240,809,947.04/17,214.92
  6. Step 6: Final answer
    x = 13,988.44

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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.