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Finding the Fourth Proportional to 12,204.60, 16,841.70 and 6,899.10

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Solution

The fourth proportional to 12,204.60, 16,841.70 and 6,899.10 is: 9,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.60 : 16,841.70 = 6,899.10 : x
  2. Step 2: Convert to fraction form
    12,204.60/16,841.70 = 6,899.10/x
  3. Step 3: Cross multiply
    12,204.60x = 16,841.70 × 6,899.10
  4. Step 4: Simplify right side
    12,204.60x = 116,192,572.47
  5. Step 5: Solve for x
    x = 116,192,572.47/12,204.60
  6. Step 6: Final answer
    x = 9,520.39

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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.