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Finding the Fourth Proportional to 17,229.80, 23,776.38 and 10,156.64

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Solution

The fourth proportional to 17,229.80, 23,776.38 and 10,156.64 is: 14,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.80 : 23,776.38 = 10,156.64 : x
  2. Step 2: Convert to fraction form
    17,229.80/23,776.38 = 10,156.64/x
  3. Step 3: Cross multiply
    17,229.80x = 23,776.38 × 10,156.64
  4. Step 4: Simplify right side
    17,229.80x = 241,488,132.16
  5. Step 5: Solve for x
    x = 241,488,132.16/17,229.80
  6. Step 6: Final answer
    x = 14,015.72

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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.