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Finding the Fourth Proportional to 13,309.52, 19,960.22 and 5,516.50

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Solution

The fourth proportional to 13,309.52, 19,960.22 and 5,516.50 is: 8,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.52 : 19,960.22 = 5,516.50 : x
  2. Step 2: Convert to fraction form
    13,309.52/19,960.22 = 5,516.50/x
  3. Step 3: Cross multiply
    13,309.52x = 19,960.22 × 5,516.50
  4. Step 4: Simplify right side
    13,309.52x = 110,110,553.63
  5. Step 5: Solve for x
    x = 110,110,553.63/13,309.52
  6. Step 6: Final answer
    x = 8,273.07

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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.