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Finding the Fourth Proportional to 16,096.72, 24,140.08 and 7,771.56

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Solution

The fourth proportional to 16,096.72, 24,140.08 and 7,771.56 is: 11,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.72 : 24,140.08 = 7,771.56 : x
  2. Step 2: Convert to fraction form
    16,096.72/24,140.08 = 7,771.56/x
  3. Step 3: Cross multiply
    16,096.72x = 24,140.08 × 7,771.56
  4. Step 4: Simplify right side
    16,096.72x = 187,606,080.12
  5. Step 5: Solve for x
    x = 187,606,080.12/16,096.72
  6. Step 6: Final answer
    x = 11,654.93

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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.