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Finding the Fourth Proportional to 24,573.75, 33,912.50 and 13,963.83

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Solution

The fourth proportional to 24,573.75, 33,912.50 and 13,963.83 is: 19,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.75 : 33,912.50 = 13,963.83 : x
  2. Step 2: Convert to fraction form
    24,573.75/33,912.50 = 13,963.83/x
  3. Step 3: Cross multiply
    24,573.75x = 33,912.50 × 13,963.83
  4. Step 4: Simplify right side
    24,573.75x = 473,548,315.06
  5. Step 5: Solve for x
    x = 473,548,315.06/24,573.75
  6. Step 6: Final answer
    x = 19,270.49

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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.