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Finding the Fourth Proportional to 22,247.48, 30,704.16 and 12,815.84

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Solution

The fourth proportional to 22,247.48, 30,704.16 and 12,815.84 is: 17,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,247.48 : 30,704.16 = 12,815.84 : x
  2. Step 2: Convert to fraction form
    22,247.48/30,704.16 = 12,815.84/x
  3. Step 3: Cross multiply
    22,247.48x = 30,704.16 × 12,815.84
  4. Step 4: Simplify right side
    22,247.48x = 393,499,601.89
  5. Step 5: Solve for x
    x = 393,499,601.89/22,247.48
  6. Step 6: Final answer
    x = 17,687.38

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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.