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Finding the Fourth Proportional to 13,704, 18,911.52 and 8,115

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Solution

The fourth proportional to 13,704, 18,911.52 and 8,115 is: 11,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704 : 18,911.52 = 8,115 : x
  2. Step 2: Convert to fraction form
    13,704/18,911.52 = 8,115/x
  3. Step 3: Cross multiply
    13,704x = 18,911.52 × 8,115
  4. Step 4: Simplify right side
    13,704x = 153,466,984.80
  5. Step 5: Solve for x
    x = 153,466,984.80/13,704
  6. Step 6: Final answer
    x = 11,198.70

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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.