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Finding the Fourth Proportional to 14,849.25, 20,493.67 and 8,476.75

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Solution

The fourth proportional to 14,849.25, 20,493.67 and 8,476.75 is: 11,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,849.25 : 20,493.67 = 8,476.75 : x
  2. Step 2: Convert to fraction form
    14,849.25/20,493.67 = 8,476.75/x
  3. Step 3: Cross multiply
    14,849.25x = 20,493.67 × 8,476.75
  4. Step 4: Simplify right side
    14,849.25x = 173,719,572.32
  5. Step 5: Solve for x
    x = 173,719,572.32/14,849.25
  6. Step 6: Final answer
    x = 11,698.88

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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.