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Finding the Fourth Proportional to 16,096.40, 24,125.40 and 6,736.40

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Solution

The fourth proportional to 16,096.40, 24,125.40 and 6,736.40 is: 10,096.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.40 : 24,125.40 = 6,736.40 : x
  2. Step 2: Convert to fraction form
    16,096.40/24,125.40 = 6,736.40/x
  3. Step 3: Cross multiply
    16,096.40x = 24,125.40 × 6,736.40
  4. Step 4: Simplify right side
    16,096.40x = 162,518,344.56
  5. Step 5: Solve for x
    x = 162,518,344.56/16,096.40
  6. Step 6: Final answer
    x = 10,096.56

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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.