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Finding the Fourth Proportional to 17,698.90, 26,540.79 and 6,006.82

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Solution

The fourth proportional to 17,698.90, 26,540.79 and 6,006.82 is: 9,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.90 : 26,540.79 = 6,006.82 : x
  2. Step 2: Convert to fraction form
    17,698.90/26,540.79 = 6,006.82/x
  3. Step 3: Cross multiply
    17,698.90x = 26,540.79 × 6,006.82
  4. Step 4: Simplify right side
    17,698.90x = 159,425,748.19
  5. Step 5: Solve for x
    x = 159,425,748.19/17,698.90
  6. Step 6: Final answer
    x = 9,007.66

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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.