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Finding the Fourth Proportional to 16,542.63, 24,817.02 and 7,777.54

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Solution

The fourth proportional to 16,542.63, 24,817.02 and 7,777.54 is: 11,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.63 : 24,817.02 = 7,777.54 : x
  2. Step 2: Convert to fraction form
    16,542.63/24,817.02 = 7,777.54/x
  3. Step 3: Cross multiply
    16,542.63x = 24,817.02 × 7,777.54
  4. Step 4: Simplify right side
    16,542.63x = 193,015,367.59
  5. Step 5: Solve for x
    x = 193,015,367.59/16,542.63
  6. Step 6: Final answer
    x = 11,667.76

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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.