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Finding the Fourth Proportional to 15,221.41, 22,833.94 and 5,859.25

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Solution

The fourth proportional to 15,221.41, 22,833.94 and 5,859.25 is: 8,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,221.41 : 22,833.94 = 5,859.25 : x
  2. Step 2: Convert to fraction form
    15,221.41/22,833.94 = 5,859.25/x
  3. Step 3: Cross multiply
    15,221.41x = 22,833.94 × 5,859.25
  4. Step 4: Simplify right side
    15,221.41x = 133,789,762.95
  5. Step 5: Solve for x
    x = 133,789,762.95/15,221.41
  6. Step 6: Final answer
    x = 8,789.58

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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.