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Finding the Fourth Proportional to 26,982.90, 40,475.55 and 9,213.30

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Solution

The fourth proportional to 26,982.90, 40,475.55 and 9,213.30 is: 13,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982.90 : 40,475.55 = 9,213.30 : x
  2. Step 2: Convert to fraction form
    26,982.90/40,475.55 = 9,213.30/x
  3. Step 3: Cross multiply
    26,982.90x = 40,475.55 × 9,213.30
  4. Step 4: Simplify right side
    26,982.90x = 372,913,384.82
  5. Step 5: Solve for x
    x = 372,913,384.82/26,982.90
  6. Step 6: Final answer
    x = 13,820.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.