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Finding the Fourth Proportional to 12,552.25, 18,817.65 and 5,152.09

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Solution

The fourth proportional to 12,552.25, 18,817.65 and 5,152.09 is: 7,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,552.25 : 18,817.65 = 5,152.09 : x
  2. Step 2: Convert to fraction form
    12,552.25/18,817.65 = 5,152.09/x
  3. Step 3: Cross multiply
    12,552.25x = 18,817.65 × 5,152.09
  4. Step 4: Simplify right side
    12,552.25x = 96,950,226.39
  5. Step 5: Solve for x
    x = 96,950,226.39/12,552.25
  6. Step 6: Final answer
    x = 7,723.73

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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.