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Finding the Fourth Proportional to 16,302.28, 22,497.14 and 8,850.28

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Solution

The fourth proportional to 16,302.28, 22,497.14 and 8,850.28 is: 12,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.28 : 22,497.14 = 8,850.28 : x
  2. Step 2: Convert to fraction form
    16,302.28/22,497.14 = 8,850.28/x
  3. Step 3: Cross multiply
    16,302.28x = 22,497.14 × 8,850.28
  4. Step 4: Simplify right side
    16,302.28x = 199,105,988.20
  5. Step 5: Solve for x
    x = 199,105,988.20/16,302.28
  6. Step 6: Final answer
    x = 12,213.38

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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.