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Finding the Fourth Proportional to 17,113.38, 23,609.97 and 11,150.16

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Solution

The fourth proportional to 17,113.38, 23,609.97 and 11,150.16 is: 15,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.38 : 23,609.97 = 11,150.16 : x
  2. Step 2: Convert to fraction form
    17,113.38/23,609.97 = 11,150.16/x
  3. Step 3: Cross multiply
    17,113.38x = 23,609.97 × 11,150.16
  4. Step 4: Simplify right side
    17,113.38x = 263,254,943.10
  5. Step 5: Solve for x
    x = 263,254,943.10/17,113.38
  6. Step 6: Final answer
    x = 15,382.99

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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.