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Finding the Fourth Proportional to 26,933, 40,401.12 and 8,465

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Solution

The fourth proportional to 26,933, 40,401.12 and 8,465 is: 12,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,933 : 40,401.12 = 8,465 : x
  2. Step 2: Convert to fraction form
    26,933/40,401.12 = 8,465/x
  3. Step 3: Cross multiply
    26,933x = 40,401.12 × 8,465
  4. Step 4: Simplify right side
    26,933x = 341,995,480.80
  5. Step 5: Solve for x
    x = 341,995,480.80/26,933
  6. Step 6: Final answer
    x = 12,698.01

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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.