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Finding the Fourth Proportional to 26,857.28, 40,285.80 and 10,213.40

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Solution

The fourth proportional to 26,857.28, 40,285.80 and 10,213.40 is: 15,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,857.28 : 40,285.80 = 10,213.40 : x
  2. Step 2: Convert to fraction form
    26,857.28/40,285.80 = 10,213.40/x
  3. Step 3: Cross multiply
    26,857.28x = 40,285.80 × 10,213.40
  4. Step 4: Simplify right side
    26,857.28x = 411,454,989.72
  5. Step 5: Solve for x
    x = 411,454,989.72/26,857.28
  6. Step 6: Final answer
    x = 15,320.05

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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.