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Finding the Fourth Proportional to 26,826, 37,019.88 and 14,891.27

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Solution

The fourth proportional to 26,826, 37,019.88 and 14,891.27 is: 20,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826 : 37,019.88 = 14,891.27 : x
  2. Step 2: Convert to fraction form
    26,826/37,019.88 = 14,891.27/x
  3. Step 3: Cross multiply
    26,826x = 37,019.88 × 14,891.27
  4. Step 4: Simplify right side
    26,826x = 551,272,843.35
  5. Step 5: Solve for x
    x = 551,272,843.35/26,826
  6. Step 6: Final answer
    x = 20,549.95

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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.