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Finding the Fourth Proportional to 13,517.59, 18,663.02 and 12,098.80

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Solution

The fourth proportional to 13,517.59, 18,663.02 and 12,098.80 is: 16,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,517.59 : 18,663.02 = 12,098.80 : x
  2. Step 2: Convert to fraction form
    13,517.59/18,663.02 = 12,098.80/x
  3. Step 3: Cross multiply
    13,517.59x = 18,663.02 × 12,098.80
  4. Step 4: Simplify right side
    13,517.59x = 225,800,146.38
  5. Step 5: Solve for x
    x = 225,800,146.38/13,517.59
  6. Step 6: Final answer
    x = 16,704.17

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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.