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Finding the Fourth Proportional to 16,520.38, 22,794.50 and 9,808.24

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Solution

The fourth proportional to 16,520.38, 22,794.50 and 9,808.24 is: 13,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520.38 : 22,794.50 = 9,808.24 : x
  2. Step 2: Convert to fraction form
    16,520.38/22,794.50 = 9,808.24/x
  3. Step 3: Cross multiply
    16,520.38x = 22,794.50 × 9,808.24
  4. Step 4: Simplify right side
    16,520.38x = 223,573,926.68
  5. Step 5: Solve for x
    x = 223,573,926.68/16,520.38
  6. Step 6: Final answer
    x = 13,533.22

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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.