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Finding the Fourth Proportional to 17,797, 26,700.14 and 5,317.04

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Solution

The fourth proportional to 17,797, 26,700.14 and 5,317.04 is: 7,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797 : 26,700.14 = 5,317.04 : x
  2. Step 2: Convert to fraction form
    17,797/26,700.14 = 5,317.04/x
  3. Step 3: Cross multiply
    17,797x = 26,700.14 × 5,317.04
  4. Step 4: Simplify right side
    17,797x = 141,965,712.39
  5. Step 5: Solve for x
    x = 141,965,712.39/17,797
  6. Step 6: Final answer
    x = 7,976.95

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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.