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Finding the Fourth Proportional to 17,708.88, 26,581.80 and 7,855.08

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Solution

The fourth proportional to 17,708.88, 26,581.80 and 7,855.08 is: 11,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.88 : 26,581.80 = 7,855.08 : x
  2. Step 2: Convert to fraction form
    17,708.88/26,581.80 = 7,855.08/x
  3. Step 3: Cross multiply
    17,708.88x = 26,581.80 × 7,855.08
  4. Step 4: Simplify right side
    17,708.88x = 208,802,165.54
  5. Step 5: Solve for x
    x = 208,802,165.54/17,708.88
  6. Step 6: Final answer
    x = 11,790.82

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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.