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Finding the Fourth Proportional to 22,216.85, 30,659.17 and 12,145.30

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Solution

The fourth proportional to 22,216.85, 30,659.17 and 12,145.30 is: 16,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,216.85 : 30,659.17 = 12,145.30 : x
  2. Step 2: Convert to fraction form
    22,216.85/30,659.17 = 12,145.30/x
  3. Step 3: Cross multiply
    22,216.85x = 30,659.17 × 12,145.30
  4. Step 4: Simplify right side
    22,216.85x = 372,364,603.38
  5. Step 5: Solve for x
    x = 372,364,603.38/22,216.85
  6. Step 6: Final answer
    x = 16,760.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.