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Finding the Fourth Proportional to 26,233.70, 39,358.22 and 8,464.01

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Solution

The fourth proportional to 26,233.70, 39,358.22 and 8,464.01 is: 12,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,233.70 : 39,358.22 = 8,464.01 : x
  2. Step 2: Convert to fraction form
    26,233.70/39,358.22 = 8,464.01/x
  3. Step 3: Cross multiply
    26,233.70x = 39,358.22 × 8,464.01
  4. Step 4: Simplify right side
    26,233.70x = 333,128,367.66
  5. Step 5: Solve for x
    x = 333,128,367.66/26,233.70
  6. Step 6: Final answer
    x = 12,698.49

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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.