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Finding the Fourth Proportional to 26,826.80, 40,211.40 and 10,180.40

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Solution

The fourth proportional to 26,826.80, 40,211.40 and 10,180.40 is: 15,259.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826.80 : 40,211.40 = 10,180.40 : x
  2. Step 2: Convert to fraction form
    26,826.80/40,211.40 = 10,180.40/x
  3. Step 3: Cross multiply
    26,826.80x = 40,211.40 × 10,180.40
  4. Step 4: Simplify right side
    26,826.80x = 409,368,136.56
  5. Step 5: Solve for x
    x = 409,368,136.56/26,826.80
  6. Step 6: Final answer
    x = 15,259.67

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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.