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Finding the Fourth Proportional to 23,772.84, 32,801.32 and 14,211.34

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Solution

The fourth proportional to 23,772.84, 32,801.32 and 14,211.34 is: 19,608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.84 : 32,801.32 = 14,211.34 : x
  2. Step 2: Convert to fraction form
    23,772.84/32,801.32 = 14,211.34/x
  3. Step 3: Cross multiply
    23,772.84x = 32,801.32 × 14,211.34
  4. Step 4: Simplify right side
    23,772.84x = 466,150,710.97
  5. Step 5: Solve for x
    x = 466,150,710.97/23,772.84
  6. Step 6: Final answer
    x = 19,608.54

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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.