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Finding the Fourth Proportional to 15,222.94, 22,835.05 and 5,859.61

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Solution

The fourth proportional to 15,222.94, 22,835.05 and 5,859.61 is: 8,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,222.94 : 22,835.05 = 5,859.61 : x
  2. Step 2: Convert to fraction form
    15,222.94/22,835.05 = 5,859.61/x
  3. Step 3: Cross multiply
    15,222.94x = 22,835.05 × 5,859.61
  4. Step 4: Simplify right side
    15,222.94x = 133,804,415.59
  5. Step 5: Solve for x
    x = 133,804,415.59/15,222.94
  6. Step 6: Final answer
    x = 8,789.66

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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.