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Finding the Fourth Proportional to 16,308.24, 22,507.38 and 9,234.51

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Solution

The fourth proportional to 16,308.24, 22,507.38 and 9,234.51 is: 12,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.24 : 22,507.38 = 9,234.51 : x
  2. Step 2: Convert to fraction form
    16,308.24/22,507.38 = 9,234.51/x
  3. Step 3: Cross multiply
    16,308.24x = 22,507.38 × 9,234.51
  4. Step 4: Simplify right side
    16,308.24x = 207,844,625.68
  5. Step 5: Solve for x
    x = 207,844,625.68/16,308.24
  6. Step 6: Final answer
    x = 12,744.76

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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.