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Finding the Fourth Proportional to 16,096.42, 24,152.84 and 7,783.56

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Solution

The fourth proportional to 16,096.42, 24,152.84 and 7,783.56 is: 11,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.42 : 24,152.84 = 7,783.56 : x
  2. Step 2: Convert to fraction form
    16,096.42/24,152.84 = 7,783.56/x
  3. Step 3: Cross multiply
    16,096.42x = 24,152.84 × 7,783.56
  4. Step 4: Simplify right side
    16,096.42x = 187,995,079.31
  5. Step 5: Solve for x
    x = 187,995,079.31/16,096.42
  6. Step 6: Final answer
    x = 11,679.31

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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.