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Finding the Fourth Proportional to 17,507.88, 24,161.40 and 9,550.56

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Solution

The fourth proportional to 17,507.88, 24,161.40 and 9,550.56 is: 13,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.88 : 24,161.40 = 9,550.56 : x
  2. Step 2: Convert to fraction form
    17,507.88/24,161.40 = 9,550.56/x
  3. Step 3: Cross multiply
    17,507.88x = 24,161.40 × 9,550.56
  4. Step 4: Simplify right side
    17,507.88x = 230,754,900.38
  5. Step 5: Solve for x
    x = 230,754,900.38/17,507.88
  6. Step 6: Final answer
    x = 13,180.06

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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.