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Finding the Fourth Proportional to 26,973, 40,459.50 and 8,505

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Solution

The fourth proportional to 26,973, 40,459.50 and 8,505 is: 12,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,973 : 40,459.50 = 8,505 : x
  2. Step 2: Convert to fraction form
    26,973/40,459.50 = 8,505/x
  3. Step 3: Cross multiply
    26,973x = 40,459.50 × 8,505
  4. Step 4: Simplify right side
    26,973x = 344,108,047.50
  5. Step 5: Solve for x
    x = 344,108,047.50/26,973
  6. Step 6: Final answer
    x = 12,757.50

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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.