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Finding the Fourth Proportional to 16,228.20, 21,597.49 and 16,228.20

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Solution

The fourth proportional to 16,228.20, 21,597.49 and 16,228.20 is: 21,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.20 : 21,597.49 = 16,228.20 : x
  2. Step 2: Convert to fraction form
    16,228.20/21,597.49 = 16,228.20/x
  3. Step 3: Cross multiply
    16,228.20x = 21,597.49 × 16,228.20
  4. Step 4: Simplify right side
    16,228.20x = 350,488,387.22
  5. Step 5: Solve for x
    x = 350,488,387.22/16,228.20
  6. Step 6: Final answer
    x = 21,597.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.