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Finding the Fourth Proportional to 17,713.26, 26,569.92 and 6,027.42

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Solution

The fourth proportional to 17,713.26, 26,569.92 and 6,027.42 is: 9,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.26 : 26,569.92 = 6,027.42 : x
  2. Step 2: Convert to fraction form
    17,713.26/26,569.92 = 6,027.42/x
  3. Step 3: Cross multiply
    17,713.26x = 26,569.92 × 6,027.42
  4. Step 4: Simplify right side
    17,713.26x = 160,148,067.21
  5. Step 5: Solve for x
    x = 160,148,067.21/17,713.26
  6. Step 6: Final answer
    x = 9,041.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.