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Finding the Fourth Proportional to 13,520.39, 18,663.89 and 8,216.91

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Solution

The fourth proportional to 13,520.39, 18,663.89 and 8,216.91 is: 11,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,520.39 : 18,663.89 = 8,216.91 : x
  2. Step 2: Convert to fraction form
    13,520.39/18,663.89 = 8,216.91/x
  3. Step 3: Cross multiply
    13,520.39x = 18,663.89 × 8,216.91
  4. Step 4: Simplify right side
    13,520.39x = 153,359,463.30
  5. Step 5: Solve for x
    x = 153,359,463.30/13,520.39
  6. Step 6: Final answer
    x = 11,342.83

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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.