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Finding the Fourth Proportional to 26,846.19, 40,263.81 and 10,200.39

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Solution

The fourth proportional to 26,846.19, 40,263.81 and 10,200.39 is: 15,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.19 : 40,263.81 = 10,200.39 : x
  2. Step 2: Convert to fraction form
    26,846.19/40,263.81 = 10,200.39/x
  3. Step 3: Cross multiply
    26,846.19x = 40,263.81 × 10,200.39
  4. Step 4: Simplify right side
    26,846.19x = 410,706,363.57
  5. Step 5: Solve for x
    x = 410,706,363.57/26,846.19
  6. Step 6: Final answer
    x = 15,298.50

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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.