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Finding the Fourth Proportional to 22,314.76, 30,793.16 and 12,243.02

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Solution

The fourth proportional to 22,314.76, 30,793.16 and 12,243.02 is: 16,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.76 : 30,793.16 = 12,243.02 : x
  2. Step 2: Convert to fraction form
    22,314.76/30,793.16 = 12,243.02/x
  3. Step 3: Cross multiply
    22,314.76x = 30,793.16 × 12,243.02
  4. Step 4: Simplify right side
    22,314.76x = 377,001,150.38
  5. Step 5: Solve for x
    x = 377,001,150.38/22,314.76
  6. Step 6: Final answer
    x = 16,894.70

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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.