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Finding the Fourth Proportional to 12,156.97, 18,237.90 and 3,838.27

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Solution

The fourth proportional to 12,156.97, 18,237.90 and 3,838.27 is: 5,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.97 : 18,237.90 = 3,838.27 : x
  2. Step 2: Convert to fraction form
    12,156.97/18,237.90 = 3,838.27/x
  3. Step 3: Cross multiply
    12,156.97x = 18,237.90 × 3,838.27
  4. Step 4: Simplify right side
    12,156.97x = 70,001,984.43
  5. Step 5: Solve for x
    x = 70,001,984.43/12,156.97
  6. Step 6: Final answer
    x = 5,758.18

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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.