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Finding the Fourth Proportional to 16,342.44, 24,509.10 and 5,811.12

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Solution

The fourth proportional to 16,342.44, 24,509.10 and 5,811.12 is: 8,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.44 : 24,509.10 = 5,811.12 : x
  2. Step 2: Convert to fraction form
    16,342.44/24,509.10 = 5,811.12/x
  3. Step 3: Cross multiply
    16,342.44x = 24,509.10 × 5,811.12
  4. Step 4: Simplify right side
    16,342.44x = 142,425,321.19
  5. Step 5: Solve for x
    x = 142,425,321.19/16,342.44
  6. Step 6: Final answer
    x = 8,715.06

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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.