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Finding the Fourth Proportional to 16,312.14, 24,469.14 and 5,217.96

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Solution

The fourth proportional to 16,312.14, 24,469.14 and 5,217.96 is: 7,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.14 : 24,469.14 = 5,217.96 : x
  2. Step 2: Convert to fraction form
    16,312.14/24,469.14 = 5,217.96/x
  3. Step 3: Cross multiply
    16,312.14x = 24,469.14 × 5,217.96
  4. Step 4: Simplify right side
    16,312.14x = 127,678,993.75
  5. Step 5: Solve for x
    x = 127,678,993.75/16,312.14
  6. Step 6: Final answer
    x = 7,827.24

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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.