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Finding the Fourth Proportional to 17,719.14, 26,570.04 and 7,732.33

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Solution

The fourth proportional to 17,719.14, 26,570.04 and 7,732.33 is: 11,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.14 : 26,570.04 = 7,732.33 : x
  2. Step 2: Convert to fraction form
    17,719.14/26,570.04 = 7,732.33/x
  3. Step 3: Cross multiply
    17,719.14x = 26,570.04 × 7,732.33
  4. Step 4: Simplify right side
    17,719.14x = 205,448,317.39
  5. Step 5: Solve for x
    x = 205,448,317.39/17,719.14
  6. Step 6: Final answer
    x = 11,594.71

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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.