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Finding the Fourth Proportional to 14,331.54, 19,777.25 and 7,957.80

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Solution

The fourth proportional to 14,331.54, 19,777.25 and 7,957.80 is: 10,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.54 : 19,777.25 = 7,957.80 : x
  2. Step 2: Convert to fraction form
    14,331.54/19,777.25 = 7,957.80/x
  3. Step 3: Cross multiply
    14,331.54x = 19,777.25 × 7,957.80
  4. Step 4: Simplify right side
    14,331.54x = 157,383,400.05
  5. Step 5: Solve for x
    x = 157,383,400.05/14,331.54
  6. Step 6: Final answer
    x = 10,981.61

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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.