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Finding the Fourth Proportional to 26,788, 36,967.38 and 16,175.56

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Solution

The fourth proportional to 26,788, 36,967.38 and 16,175.56 is: 22,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,788 : 36,967.38 = 16,175.56 : x
  2. Step 2: Convert to fraction form
    26,788/36,967.38 = 16,175.56/x
  3. Step 3: Cross multiply
    26,788x = 36,967.38 × 16,175.56
  4. Step 4: Simplify right side
    26,788x = 597,968,073.23
  5. Step 5: Solve for x
    x = 597,968,073.23/26,788
  6. Step 6: Final answer
    x = 22,322.24

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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.