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Finding the Fourth Proportional to 25,044.44, 37,581.24 and 9,463.28

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Solution

The fourth proportional to 25,044.44, 37,581.24 and 9,463.28 is: 14,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,044.44 : 37,581.24 = 9,463.28 : x
  2. Step 2: Convert to fraction form
    25,044.44/37,581.24 = 9,463.28/x
  3. Step 3: Cross multiply
    25,044.44x = 37,581.24 × 9,463.28
  4. Step 4: Simplify right side
    25,044.44x = 355,641,796.87
  5. Step 5: Solve for x
    x = 355,641,796.87/25,044.44
  6. Step 6: Final answer
    x = 14,200.43

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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.