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Finding the Fourth Proportional to 17,922.60, 26,922.78 and 17,266.50

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Solution

The fourth proportional to 17,922.60, 26,922.78 and 17,266.50 is: 25,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.60 : 26,922.78 = 17,266.50 : x
  2. Step 2: Convert to fraction form
    17,922.60/26,922.78 = 17,266.50/x
  3. Step 3: Cross multiply
    17,922.60x = 26,922.78 × 17,266.50
  4. Step 4: Simplify right side
    17,922.60x = 464,862,180.87
  5. Step 5: Solve for x
    x = 464,862,180.87/17,922.60
  6. Step 6: Final answer
    x = 25,937.21

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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.