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Finding the Fourth Proportional to 22,744.80, 34,117.28 and 7,953.64

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Solution

The fourth proportional to 22,744.80, 34,117.28 and 7,953.64 is: 11,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,744.80 : 34,117.28 = 7,953.64 : x
  2. Step 2: Convert to fraction form
    22,744.80/34,117.28 = 7,953.64/x
  3. Step 3: Cross multiply
    22,744.80x = 34,117.28 × 7,953.64
  4. Step 4: Simplify right side
    22,744.80x = 271,356,562.90
  5. Step 5: Solve for x
    x = 271,356,562.90/22,744.80
  6. Step 6: Final answer
    x = 11,930.49

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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.