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Finding the Fourth Proportional to 17,851.80, 26,794.14 and 9,093

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Solution

The fourth proportional to 17,851.80, 26,794.14 and 9,093 is: 13,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.80 : 26,794.14 = 9,093 : x
  2. Step 2: Convert to fraction form
    17,851.80/26,794.14 = 9,093/x
  3. Step 3: Cross multiply
    17,851.80x = 26,794.14 × 9,093
  4. Step 4: Simplify right side
    17,851.80x = 243,639,115.02
  5. Step 5: Solve for x
    x = 243,639,115.02/17,851.80
  6. Step 6: Final answer
    x = 13,647.87

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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.