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Finding the Fourth Proportional to 16,525.83, 22,807.02 and 9,453.62

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Solution

The fourth proportional to 16,525.83, 22,807.02 and 9,453.62 is: 13,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.83 : 22,807.02 = 9,453.62 : x
  2. Step 2: Convert to fraction form
    16,525.83/22,807.02 = 9,453.62/x
  3. Step 3: Cross multiply
    16,525.83x = 22,807.02 × 9,453.62
  4. Step 4: Simplify right side
    16,525.83x = 215,608,786.38
  5. Step 5: Solve for x
    x = 215,608,786.38/16,525.83
  6. Step 6: Final answer
    x = 13,046.78

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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.