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Finding the Fourth Proportional to 17,794.76, 26,691.80 and 5,314.82

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Solution

The fourth proportional to 17,794.76, 26,691.80 and 5,314.82 is: 7,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794.76 : 26,691.80 = 5,314.82 : x
  2. Step 2: Convert to fraction form
    17,794.76/26,691.80 = 5,314.82/x
  3. Step 3: Cross multiply
    17,794.76x = 26,691.80 × 5,314.82
  4. Step 4: Simplify right side
    17,794.76x = 141,862,032.46
  5. Step 5: Solve for x
    x = 141,862,032.46/17,794.76
  6. Step 6: Final answer
    x = 7,972.13

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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.