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Finding the Fourth Proportional to 22,311.14, 30,789.19 and 12,102.15

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Solution

The fourth proportional to 22,311.14, 30,789.19 and 12,102.15 is: 16,700.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.14 : 30,789.19 = 12,102.15 : x
  2. Step 2: Convert to fraction form
    22,311.14/30,789.19 = 12,102.15/x
  3. Step 3: Cross multiply
    22,311.14x = 30,789.19 × 12,102.15
  4. Step 4: Simplify right side
    22,311.14x = 372,615,300.45
  5. Step 5: Solve for x
    x = 372,615,300.45/22,311.14
  6. Step 6: Final answer
    x = 16,700.86

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