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Finding the Fourth Proportional to 25,067.92, 37,563 and 9,477.04

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Solution

The fourth proportional to 25,067.92, 37,563 and 9,477.04 is: 14,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,067.92 : 37,563 = 9,477.04 : x
  2. Step 2: Convert to fraction form
    25,067.92/37,563 = 9,477.04/x
  3. Step 3: Cross multiply
    25,067.92x = 37,563 × 9,477.04
  4. Step 4: Simplify right side
    25,067.92x = 355,986,053.52
  5. Step 5: Solve for x
    x = 355,986,053.52/25,067.92
  6. Step 6: Final answer
    x = 14,200.86

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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.