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Finding the Fourth Proportional to 13,201.92, 19,691.60 and 12,283.36

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Solution

The fourth proportional to 13,201.92, 19,691.60 and 12,283.36 is: 18,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.92 : 19,691.60 = 12,283.36 : x
  2. Step 2: Convert to fraction form
    13,201.92/19,691.60 = 12,283.36/x
  3. Step 3: Cross multiply
    13,201.92x = 19,691.60 × 12,283.36
  4. Step 4: Simplify right side
    13,201.92x = 241,879,011.78
  5. Step 5: Solve for x
    x = 241,879,011.78/13,201.92
  6. Step 6: Final answer
    x = 18,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.