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Finding the Fourth Proportional to 15,309.23, 22,942.46 and 8,274.08

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Solution

The fourth proportional to 15,309.23, 22,942.46 and 8,274.08 is: 12,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.23 : 22,942.46 = 8,274.08 : x
  2. Step 2: Convert to fraction form
    15,309.23/22,942.46 = 8,274.08/x
  3. Step 3: Cross multiply
    15,309.23x = 22,942.46 × 8,274.08
  4. Step 4: Simplify right side
    15,309.23x = 189,827,593.35
  5. Step 5: Solve for x
    x = 189,827,593.35/15,309.23
  6. Step 6: Final answer
    x = 12,399.56

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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.