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Finding the Fourth Proportional to 17,838.82, 26,758.84 and 8,474.01

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Solution

The fourth proportional to 17,838.82, 26,758.84 and 8,474.01 is: 12,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.82 : 26,758.84 = 8,474.01 : x
  2. Step 2: Convert to fraction form
    17,838.82/26,758.84 = 8,474.01/x
  3. Step 3: Cross multiply
    17,838.82x = 26,758.84 × 8,474.01
  4. Step 4: Simplify right side
    17,838.82x = 226,754,677.75
  5. Step 5: Solve for x
    x = 226,754,677.75/17,838.82
  6. Step 6: Final answer
    x = 12,711.30

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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.