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Finding the Fourth Proportional to 15,542.54, 23,320.71 and 8,145.24

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Solution

The fourth proportional to 15,542.54, 23,320.71 and 8,145.24 is: 12,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,542.54 : 23,320.71 = 8,145.24 : x
  2. Step 2: Convert to fraction form
    15,542.54/23,320.71 = 8,145.24/x
  3. Step 3: Cross multiply
    15,542.54x = 23,320.71 × 8,145.24
  4. Step 4: Simplify right side
    15,542.54x = 189,952,797.50
  5. Step 5: Solve for x
    x = 189,952,797.50/15,542.54
  6. Step 6: Final answer
    x = 12,221.48

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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.