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Finding the Fourth Proportional to 12,228.47, 16,850.28 and 11,566.80

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Solution

The fourth proportional to 12,228.47, 16,850.28 and 11,566.80 is: 15,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.47 : 16,850.28 = 11,566.80 : x
  2. Step 2: Convert to fraction form
    12,228.47/16,850.28 = 11,566.80/x
  3. Step 3: Cross multiply
    12,228.47x = 16,850.28 × 11,566.80
  4. Step 4: Simplify right side
    12,228.47x = 194,903,797.02
  5. Step 5: Solve for x
    x = 194,903,797.02/12,228.47
  6. Step 6: Final answer
    x = 15,938.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.