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Finding the Fourth Proportional to 17,711.85, 26,573.92 and 7,858.03

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Solution

The fourth proportional to 17,711.85, 26,573.92 and 7,858.03 is: 11,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.85 : 26,573.92 = 7,858.03 : x
  2. Step 2: Convert to fraction form
    17,711.85/26,573.92 = 7,858.03/x
  3. Step 3: Cross multiply
    17,711.85x = 26,573.92 × 7,858.03
  4. Step 4: Simplify right side
    17,711.85x = 208,818,660.58
  5. Step 5: Solve for x
    x = 208,818,660.58/17,711.85
  6. Step 6: Final answer
    x = 11,789.77

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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.