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Finding the Fourth Proportional to 13,777.71, 20,654.88 and 5,463.60

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Solution

The fourth proportional to 13,777.71, 20,654.88 and 5,463.60 is: 8,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.71 : 20,654.88 = 5,463.60 : x
  2. Step 2: Convert to fraction form
    13,777.71/20,654.88 = 5,463.60/x
  3. Step 3: Cross multiply
    13,777.71x = 20,654.88 × 5,463.60
  4. Step 4: Simplify right side
    13,777.71x = 112,850,002.37
  5. Step 5: Solve for x
    x = 112,850,002.37/13,777.71
  6. Step 6: Final answer
    x = 8,190.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.