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Finding the Fourth Proportional to 12,141, 18,214.38 and 3,933

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Solution

The fourth proportional to 12,141, 18,214.38 and 3,933 is: 5,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141 : 18,214.38 = 3,933 : x
  2. Step 2: Convert to fraction form
    12,141/18,214.38 = 3,933/x
  3. Step 3: Cross multiply
    12,141x = 18,214.38 × 3,933
  4. Step 4: Simplify right side
    12,141x = 71,637,156.54
  5. Step 5: Solve for x
    x = 71,637,156.54/12,141
  6. Step 6: Final answer
    x = 5,900.43

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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.