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Finding the Fourth Proportional to 12,383.09, 18,575.94 and 5,363.82

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Solution

The fourth proportional to 12,383.09, 18,575.94 and 5,363.82 is: 8,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,383.09 : 18,575.94 = 5,363.82 : x
  2. Step 2: Convert to fraction form
    12,383.09/18,575.94 = 5,363.82/x
  3. Step 3: Cross multiply
    12,383.09x = 18,575.94 × 5,363.82
  4. Step 4: Simplify right side
    12,383.09x = 99,637,908.72
  5. Step 5: Solve for x
    x = 99,637,908.72/12,383.09
  6. Step 6: Final answer
    x = 8,046.29

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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.