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Finding the Fourth Proportional to 17,662.15, 26,502.31 and 9,763.20

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Solution

The fourth proportional to 17,662.15, 26,502.31 and 9,763.20 is: 14,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.15 : 26,502.31 = 9,763.20 : x
  2. Step 2: Convert to fraction form
    17,662.15/26,502.31 = 9,763.20/x
  3. Step 3: Cross multiply
    17,662.15x = 26,502.31 × 9,763.20
  4. Step 4: Simplify right side
    17,662.15x = 258,747,171.66
  5. Step 5: Solve for x
    x = 258,747,171.66/17,662.15
  6. Step 6: Final answer
    x = 14,649.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.