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Finding the Fourth Proportional to 14,922.66, 20,593.31 and 8,208.97

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Solution

The fourth proportional to 14,922.66, 20,593.31 and 8,208.97 is: 11,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.66 : 20,593.31 = 8,208.97 : x
  2. Step 2: Convert to fraction form
    14,922.66/20,593.31 = 8,208.97/x
  3. Step 3: Cross multiply
    14,922.66x = 20,593.31 × 8,208.97
  4. Step 4: Simplify right side
    14,922.66x = 169,049,822.95
  5. Step 5: Solve for x
    x = 169,049,822.95/14,922.66
  6. Step 6: Final answer
    x = 11,328.40

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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.