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Finding the Fourth Proportional to 12,654.50, 18,965.07 and 11,003.18

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Solution

The fourth proportional to 12,654.50, 18,965.07 and 11,003.18 is: 16,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.50 : 18,965.07 = 11,003.18 : x
  2. Step 2: Convert to fraction form
    12,654.50/18,965.07 = 11,003.18/x
  3. Step 3: Cross multiply
    12,654.50x = 18,965.07 × 11,003.18
  4. Step 4: Simplify right side
    12,654.50x = 208,676,078.92
  5. Step 5: Solve for x
    x = 208,676,078.92/12,654.50
  6. Step 6: Final answer
    x = 16,490.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.