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Finding the Fourth Proportional to 17,687.63, 24,395.11 and 10,969.49

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Solution

The fourth proportional to 17,687.63, 24,395.11 and 10,969.49 is: 15,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.63 : 24,395.11 = 10,969.49 : x
  2. Step 2: Convert to fraction form
    17,687.63/24,395.11 = 10,969.49/x
  3. Step 3: Cross multiply
    17,687.63x = 24,395.11 × 10,969.49
  4. Step 4: Simplify right side
    17,687.63x = 267,601,948.76
  5. Step 5: Solve for x
    x = 267,601,948.76/17,687.63
  6. Step 6: Final answer
    x = 15,129.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.