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Finding the Fourth Proportional to 26,806.38, 36,991.15 and 14,869.47

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Solution

The fourth proportional to 26,806.38, 36,991.15 and 14,869.47 is: 20,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806.38 : 36,991.15 = 14,869.47 : x
  2. Step 2: Convert to fraction form
    26,806.38/36,991.15 = 14,869.47/x
  3. Step 3: Cross multiply
    26,806.38x = 36,991.15 × 14,869.47
  4. Step 4: Simplify right side
    26,806.38x = 550,038,896.73
  5. Step 5: Solve for x
    x = 550,038,896.73/26,806.38
  6. Step 6: Final answer
    x = 20,518.96

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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.