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Finding the Fourth Proportional to 20,185.75, 30,278.64 and 6,334.75

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Solution

The fourth proportional to 20,185.75, 30,278.64 and 6,334.75 is: 9,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.75 : 30,278.64 = 6,334.75 : x
  2. Step 2: Convert to fraction form
    20,185.75/30,278.64 = 6,334.75/x
  3. Step 3: Cross multiply
    20,185.75x = 30,278.64 × 6,334.75
  4. Step 4: Simplify right side
    20,185.75x = 191,807,614.74
  5. Step 5: Solve for x
    x = 191,807,614.74/20,185.75
  6. Step 6: Final answer
    x = 9,502.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.