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Finding the Fourth Proportional to 22,949.44, 34,428.32 and 7,365.44

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Solution

The fourth proportional to 22,949.44, 34,428.32 and 7,365.44 is: 11,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,949.44 : 34,428.32 = 7,365.44 : x
  2. Step 2: Convert to fraction form
    22,949.44/34,428.32 = 7,365.44/x
  3. Step 3: Cross multiply
    22,949.44x = 34,428.32 × 7,365.44
  4. Step 4: Simplify right side
    22,949.44x = 253,579,725.26
  5. Step 5: Solve for x
    x = 253,579,725.26/22,949.44
  6. Step 6: Final answer
    x = 11,049.50

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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.