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Finding the Fourth Proportional to 16,091.66, 24,140.82 and 7,777.46

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Solution

The fourth proportional to 16,091.66, 24,140.82 and 7,777.46 is: 11,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.66 : 24,140.82 = 7,777.46 : x
  2. Step 2: Convert to fraction form
    16,091.66/24,140.82 = 7,777.46/x
  3. Step 3: Cross multiply
    16,091.66x = 24,140.82 × 7,777.46
  4. Step 4: Simplify right side
    16,091.66x = 187,754,261.92
  5. Step 5: Solve for x
    x = 187,754,261.92/16,091.66
  6. Step 6: Final answer
    x = 11,667.80

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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.