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Finding the Fourth Proportional to 12,143.39, 16,765.63 and 9,910.60

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Solution

The fourth proportional to 12,143.39, 16,765.63 and 9,910.60 is: 13,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.39 : 16,765.63 = 9,910.60 : x
  2. Step 2: Convert to fraction form
    12,143.39/16,765.63 = 9,910.60/x
  3. Step 3: Cross multiply
    12,143.39x = 16,765.63 × 9,910.60
  4. Step 4: Simplify right side
    12,143.39x = 166,157,536.04
  5. Step 5: Solve for x
    x = 166,157,536.04/12,143.39
  6. Step 6: Final answer
    x = 13,682.96

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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.