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Finding the Fourth Proportional to 23,752.80, 32,772.71 and 14,188.78

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Solution

The fourth proportional to 23,752.80, 32,772.71 and 14,188.78 is: 19,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.80 : 32,772.71 = 14,188.78 : x
  2. Step 2: Convert to fraction form
    23,752.80/32,772.71 = 14,188.78/x
  3. Step 3: Cross multiply
    23,752.80x = 32,772.71 × 14,188.78
  4. Step 4: Simplify right side
    23,752.80x = 465,004,608.33
  5. Step 5: Solve for x
    x = 465,004,608.33/23,752.80
  6. Step 6: Final answer
    x = 19,576.83

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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.