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Finding the Fourth Proportional to 14,922.66, 20,593.29 and 8,208.30

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Solution

The fourth proportional to 14,922.66, 20,593.29 and 8,208.30 is: 11,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.66 : 20,593.29 = 8,208.30 : x
  2. Step 2: Convert to fraction form
    14,922.66/20,593.29 = 8,208.30/x
  3. Step 3: Cross multiply
    14,922.66x = 20,593.29 × 8,208.30
  4. Step 4: Simplify right side
    14,922.66x = 169,035,902.31
  5. Step 5: Solve for x
    x = 169,035,902.31/14,922.66
  6. Step 6: Final answer
    x = 11,327.46

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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.