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Finding the Fourth Proportional to 17,734.78, 26,602.20 and 5,422.78

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Solution

The fourth proportional to 17,734.78, 26,602.20 and 5,422.78 is: 8,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734.78 : 26,602.20 = 5,422.78 : x
  2. Step 2: Convert to fraction form
    17,734.78/26,602.20 = 5,422.78/x
  3. Step 3: Cross multiply
    17,734.78x = 26,602.20 × 5,422.78
  4. Step 4: Simplify right side
    17,734.78x = 144,257,878.12
  5. Step 5: Solve for x
    x = 144,257,878.12/17,734.78
  6. Step 6: Final answer
    x = 8,134.18

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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.