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Finding the Fourth Proportional to 17,904.33, 26,857.17 and 6,808.95

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Solution

The fourth proportional to 17,904.33, 26,857.17 and 6,808.95 is: 10,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.33 : 26,857.17 = 6,808.95 : x
  2. Step 2: Convert to fraction form
    17,904.33/26,857.17 = 6,808.95/x
  3. Step 3: Cross multiply
    17,904.33x = 26,857.17 × 6,808.95
  4. Step 4: Simplify right side
    17,904.33x = 182,869,127.67
  5. Step 5: Solve for x
    x = 182,869,127.67/17,904.33
  6. Step 6: Final answer
    x = 10,213.68

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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.