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Finding the Fourth Proportional to 24,178.53, 33,381.86 and 19,713

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Solution

The fourth proportional to 24,178.53, 33,381.86 and 19,713 is: 27,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.53 : 33,381.86 = 19,713 : x
  2. Step 2: Convert to fraction form
    24,178.53/33,381.86 = 19,713/x
  3. Step 3: Cross multiply
    24,178.53x = 33,381.86 × 19,713
  4. Step 4: Simplify right side
    24,178.53x = 658,056,507.62
  5. Step 5: Solve for x
    x = 658,056,507.62/24,178.53
  6. Step 6: Final answer
    x = 27,216.56

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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.