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Finding the Fourth Proportional to 26,233, 36,201.90 and 15,055

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Solution

The fourth proportional to 26,233, 36,201.90 and 15,055 is: 20,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,233 : 36,201.90 = 15,055 : x
  2. Step 2: Convert to fraction form
    26,233/36,201.90 = 15,055/x
  3. Step 3: Cross multiply
    26,233x = 36,201.90 × 15,055
  4. Step 4: Simplify right side
    26,233x = 545,019,604.50
  5. Step 5: Solve for x
    x = 545,019,604.50/26,233
  6. Step 6: Final answer
    x = 20,776.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.