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Finding the Fourth Proportional to 15,952.50, 23,930.43 and 6,593.22

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Solution

The fourth proportional to 15,952.50, 23,930.43 and 6,593.22 is: 9,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.50 : 23,930.43 = 6,593.22 : x
  2. Step 2: Convert to fraction form
    15,952.50/23,930.43 = 6,593.22/x
  3. Step 3: Cross multiply
    15,952.50x = 23,930.43 × 6,593.22
  4. Step 4: Simplify right side
    15,952.50x = 157,778,589.68
  5. Step 5: Solve for x
    x = 157,778,589.68/15,952.50
  6. Step 6: Final answer
    x = 9,890.52

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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.