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Finding the Fourth Proportional to 26,858.80, 40,276.05 and 10,213.30

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Solution

The fourth proportional to 26,858.80, 40,276.05 and 10,213.30 is: 15,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858.80 : 40,276.05 = 10,213.30 : x
  2. Step 2: Convert to fraction form
    26,858.80/40,276.05 = 10,213.30/x
  3. Step 3: Cross multiply
    26,858.80x = 40,276.05 × 10,213.30
  4. Step 4: Simplify right side
    26,858.80x = 411,351,381.47
  5. Step 5: Solve for x
    x = 411,351,381.47/26,858.80
  6. Step 6: Final answer
    x = 15,315.33

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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.