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Finding the Fourth Proportional to 26,105.40, 38,967.05 and 22,431.24

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Solution

The fourth proportional to 26,105.40, 38,967.05 and 22,431.24 is: 33,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,105.40 : 38,967.05 = 22,431.24 : x
  2. Step 2: Convert to fraction form
    26,105.40/38,967.05 = 22,431.24/x
  3. Step 3: Cross multiply
    26,105.40x = 38,967.05 × 22,431.24
  4. Step 4: Simplify right side
    26,105.40x = 874,079,138.49
  5. Step 5: Solve for x
    x = 874,079,138.49/26,105.40
  6. Step 6: Final answer
    x = 33,482.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.