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Finding the Fourth Proportional to 13,441.84, 20,164.84 and 6,864.46

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Solution

The fourth proportional to 13,441.84, 20,164.84 and 6,864.46 is: 10,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.84 : 20,164.84 = 6,864.46 : x
  2. Step 2: Convert to fraction form
    13,441.84/20,164.84 = 6,864.46/x
  3. Step 3: Cross multiply
    13,441.84x = 20,164.84 × 6,864.46
  4. Step 4: Simplify right side
    13,441.84x = 138,420,737.59
  5. Step 5: Solve for x
    x = 138,420,737.59/13,441.84
  6. Step 6: Final answer
    x = 10,297.75

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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.