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Finding the Fourth Proportional to 26,692.67, 40,038.21 and 6,971.22

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Solution

The fourth proportional to 26,692.67, 40,038.21 and 6,971.22 is: 10,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,692.67 : 40,038.21 = 6,971.22 : x
  2. Step 2: Convert to fraction form
    26,692.67/40,038.21 = 6,971.22/x
  3. Step 3: Cross multiply
    26,692.67x = 40,038.21 × 6,971.22
  4. Step 4: Simplify right side
    26,692.67x = 279,115,346.60
  5. Step 5: Solve for x
    x = 279,115,346.60/26,692.67
  6. Step 6: Final answer
    x = 10,456.63

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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.