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Finding the Fourth Proportional to 14,922.29, 20,591.16 and 8,633.49

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Solution

The fourth proportional to 14,922.29, 20,591.16 and 8,633.49 is: 11,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922.29 : 20,591.16 = 8,633.49 : x
  2. Step 2: Convert to fraction form
    14,922.29/20,591.16 = 8,633.49/x
  3. Step 3: Cross multiply
    14,922.29x = 20,591.16 × 8,633.49
  4. Step 4: Simplify right side
    14,922.29x = 177,773,573.95
  5. Step 5: Solve for x
    x = 177,773,573.95/14,922.29
  6. Step 6: Final answer
    x = 11,913.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.