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Finding the Fourth Proportional to 17,837.67, 26,745.55 and 8,465

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Solution

The fourth proportional to 17,837.67, 26,745.55 and 8,465 is: 12,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.67 : 26,745.55 = 8,465 : x
  2. Step 2: Convert to fraction form
    17,837.67/26,745.55 = 8,465/x
  3. Step 3: Cross multiply
    17,837.67x = 26,745.55 × 8,465
  4. Step 4: Simplify right side
    17,837.67x = 226,401,080.75
  5. Step 5: Solve for x
    x = 226,401,080.75/17,837.67
  6. Step 6: Final answer
    x = 12,692.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.