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Finding the Fourth Proportional to 16,302.96, 22,498.20 and 8,850.96

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Solution

The fourth proportional to 16,302.96, 22,498.20 and 8,850.96 is: 12,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.96 : 22,498.20 = 8,850.96 : x
  2. Step 2: Convert to fraction form
    16,302.96/22,498.20 = 8,850.96/x
  3. Step 3: Cross multiply
    16,302.96x = 22,498.20 × 8,850.96
  4. Step 4: Simplify right side
    16,302.96x = 199,130,668.27
  5. Step 5: Solve for x
    x = 199,130,668.27/16,302.96
  6. Step 6: Final answer
    x = 12,214.39

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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.