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Finding the Fourth Proportional to 17,019.10, 23,486.17 and 9,465.38

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Solution

The fourth proportional to 17,019.10, 23,486.17 and 9,465.38 is: 13,062.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,019.10 : 23,486.17 = 9,465.38 : x
  2. Step 2: Convert to fraction form
    17,019.10/23,486.17 = 9,465.38/x
  3. Step 3: Cross multiply
    17,019.10x = 23,486.17 × 9,465.38
  4. Step 4: Simplify right side
    17,019.10x = 222,305,523.79
  5. Step 5: Solve for x
    x = 222,305,523.79/17,019.10
  6. Step 6: Final answer
    x = 13,062.12

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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.