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Finding the Fourth Proportional to 14,535.43, 21,799.90 and 5,767.99

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Solution

The fourth proportional to 14,535.43, 21,799.90 and 5,767.99 is: 8,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,535.43 : 21,799.90 = 5,767.99 : x
  2. Step 2: Convert to fraction form
    14,535.43/21,799.90 = 5,767.99/x
  3. Step 3: Cross multiply
    14,535.43x = 21,799.90 × 5,767.99
  4. Step 4: Simplify right side
    14,535.43x = 125,741,605.20
  5. Step 5: Solve for x
    x = 125,741,605.20/14,535.43
  6. Step 6: Final answer
    x = 8,650.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.