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Finding the Fourth Proportional to 26,838.20, 40,271.70 and 11,257.40

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Solution

The fourth proportional to 26,838.20, 40,271.70 and 11,257.40 is: 16,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838.20 : 40,271.70 = 11,257.40 : x
  2. Step 2: Convert to fraction form
    26,838.20/40,271.70 = 11,257.40/x
  3. Step 3: Cross multiply
    26,838.20x = 40,271.70 × 11,257.40
  4. Step 4: Simplify right side
    26,838.20x = 453,354,635.58
  5. Step 5: Solve for x
    x = 453,354,635.58/26,838.20
  6. Step 6: Final answer
    x = 16,892.14

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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.