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Finding the Fourth Proportional to 26,534.44, 39,800.22 and 8,065

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Solution

The fourth proportional to 26,534.44, 39,800.22 and 8,065 is: 12,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.44 : 39,800.22 = 8,065 : x
  2. Step 2: Convert to fraction form
    26,534.44/39,800.22 = 8,065/x
  3. Step 3: Cross multiply
    26,534.44x = 39,800.22 × 8,065
  4. Step 4: Simplify right side
    26,534.44x = 320,988,774.30
  5. Step 5: Solve for x
    x = 320,988,774.30/26,534.44
  6. Step 6: Final answer
    x = 12,097.06

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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.