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Finding the Fourth Proportional to 16,284.26, 24,428.16 and 5,188.34

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Solution

The fourth proportional to 16,284.26, 24,428.16 and 5,188.34 is: 7,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.26 : 24,428.16 = 5,188.34 : x
  2. Step 2: Convert to fraction form
    16,284.26/24,428.16 = 5,188.34/x
  3. Step 3: Cross multiply
    16,284.26x = 24,428.16 × 5,188.34
  4. Step 4: Simplify right side
    16,284.26x = 126,741,599.65
  5. Step 5: Solve for x
    x = 126,741,599.65/16,284.26
  6. Step 6: Final answer
    x = 7,783.07

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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.