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Finding the Fourth Proportional to 12,121.84, 18,191.13 and 7,963.84

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Solution

The fourth proportional to 12,121.84, 18,191.13 and 7,963.84 is: 11,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.84 : 18,191.13 = 7,963.84 : x
  2. Step 2: Convert to fraction form
    12,121.84/18,191.13 = 7,963.84/x
  3. Step 3: Cross multiply
    12,121.84x = 18,191.13 × 7,963.84
  4. Step 4: Simplify right side
    12,121.84x = 144,871,248.74
  5. Step 5: Solve for x
    x = 144,871,248.74/12,121.84
  6. Step 6: Final answer
    x = 11,951.26

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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.