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Finding the Fourth Proportional to 16,516.54, 22,789.64 and 9,441.46

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Solution

The fourth proportional to 16,516.54, 22,789.64 and 9,441.46 is: 13,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.54 : 22,789.64 = 9,441.46 : x
  2. Step 2: Convert to fraction form
    16,516.54/22,789.64 = 9,441.46/x
  3. Step 3: Cross multiply
    16,516.54x = 22,789.64 × 9,441.46
  4. Step 4: Simplify right side
    16,516.54x = 215,167,474.47
  5. Step 5: Solve for x
    x = 215,167,474.47/16,516.54
  6. Step 6: Final answer
    x = 13,027.39

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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.