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Finding the Fourth Proportional to 26,777, 36,952.26 and 18,398.36

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Solution

The fourth proportional to 26,777, 36,952.26 and 18,398.36 is: 25,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,777 : 36,952.26 = 18,398.36 : x
  2. Step 2: Convert to fraction form
    26,777/36,952.26 = 18,398.36/x
  3. Step 3: Cross multiply
    26,777x = 36,952.26 × 18,398.36
  4. Step 4: Simplify right side
    26,777x = 679,860,982.29
  5. Step 5: Solve for x
    x = 679,860,982.29/26,777
  6. Step 6: Final answer
    x = 25,389.74

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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.