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Finding the Fourth Proportional to 26,930, 40,401.56 and 8,462

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Solution

The fourth proportional to 26,930, 40,401.56 and 8,462 is: 12,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,930 : 40,401.56 = 8,462 : x
  2. Step 2: Convert to fraction form
    26,930/40,401.56 = 8,462/x
  3. Step 3: Cross multiply
    26,930x = 40,401.56 × 8,462
  4. Step 4: Simplify right side
    26,930x = 341,878,000.72
  5. Step 5: Solve for x
    x = 341,878,000.72/26,930
  6. Step 6: Final answer
    x = 12,695.06

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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.