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Finding the Fourth Proportional to 11,214.88, 16,822.40 and 3,423.84

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Solution

The fourth proportional to 11,214.88, 16,822.40 and 3,423.84 is: 5,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.88 : 16,822.40 = 3,423.84 : x
  2. Step 2: Convert to fraction form
    11,214.88/16,822.40 = 3,423.84/x
  3. Step 3: Cross multiply
    11,214.88x = 16,822.40 × 3,423.84
  4. Step 4: Simplify right side
    11,214.88x = 57,597,206.02
  5. Step 5: Solve for x
    x = 57,597,206.02/11,214.88
  6. Step 6: Final answer
    x = 5,135.78

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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.