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Finding the Fourth Proportional to 23,793.84, 32,840.08 and 13,728.76

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Solution

The fourth proportional to 23,793.84, 32,840.08 and 13,728.76 is: 18,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,793.84 : 32,840.08 = 13,728.76 : x
  2. Step 2: Convert to fraction form
    23,793.84/32,840.08 = 13,728.76/x
  3. Step 3: Cross multiply
    23,793.84x = 32,840.08 × 13,728.76
  4. Step 4: Simplify right side
    23,793.84x = 450,853,576.70
  5. Step 5: Solve for x
    x = 450,853,576.70/23,793.84
  6. Step 6: Final answer
    x = 18,948.33

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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.