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Finding the Fourth Proportional to 26,703.50, 36,849.38 and 14,766.14

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Solution

The fourth proportional to 26,703.50, 36,849.38 and 14,766.14 is: 20,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,703.50 : 36,849.38 = 14,766.14 : x
  2. Step 2: Convert to fraction form
    26,703.50/36,849.38 = 14,766.14/x
  3. Step 3: Cross multiply
    26,703.50x = 36,849.38 × 14,766.14
  4. Step 4: Simplify right side
    26,703.50x = 544,123,103.99
  5. Step 5: Solve for x
    x = 544,123,103.99/26,703.50
  6. Step 6: Final answer
    x = 20,376.47

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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.