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Finding the Fourth Proportional to 14,922.99, 20,593.44 and 8,208.23

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Solution

The fourth proportional to 14,922.99, 20,593.44 and 8,208.23 is: 11,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.99 : 20,593.44 = 8,208.23 : x
  2. Step 2: Convert to fraction form
    14,922.99/20,593.44 = 8,208.23/x
  3. Step 3: Cross multiply
    14,922.99x = 20,593.44 × 8,208.23
  4. Step 4: Simplify right side
    14,922.99x = 169,035,589.04
  5. Step 5: Solve for x
    x = 169,035,589.04/14,922.99
  6. Step 6: Final answer
    x = 11,327.19

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1.5x scale

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.