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Finding the Fourth Proportional to 12,814.92, 19,223.46 and 4,049.64

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Solution

The fourth proportional to 12,814.92, 19,223.46 and 4,049.64 is: 6,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.92 : 19,223.46 = 4,049.64 : x
  2. Step 2: Convert to fraction form
    12,814.92/19,223.46 = 4,049.64/x
  3. Step 3: Cross multiply
    12,814.92x = 19,223.46 × 4,049.64
  4. Step 4: Simplify right side
    12,814.92x = 77,848,092.55
  5. Step 5: Solve for x
    x = 77,848,092.55/12,814.92
  6. Step 6: Final answer
    x = 6,074.80

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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.