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Finding the Fourth Proportional to 26,638, 36,760.44 and 14,862

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Solution

The fourth proportional to 26,638, 36,760.44 and 14,862 is: 20,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,638 : 36,760.44 = 14,862 : x
  2. Step 2: Convert to fraction form
    26,638/36,760.44 = 14,862/x
  3. Step 3: Cross multiply
    26,638x = 36,760.44 × 14,862
  4. Step 4: Simplify right side
    26,638x = 546,333,659.28
  5. Step 5: Solve for x
    x = 546,333,659.28/26,638
  6. Step 6: Final answer
    x = 20,509.56

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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.