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Finding the Fourth Proportional to 22,347.28, 30,837.72 and 12,276.15

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Solution

The fourth proportional to 22,347.28, 30,837.72 and 12,276.15 is: 16,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,347.28 : 30,837.72 = 12,276.15 : x
  2. Step 2: Convert to fraction form
    22,347.28/30,837.72 = 12,276.15/x
  3. Step 3: Cross multiply
    22,347.28x = 30,837.72 × 12,276.15
  4. Step 4: Simplify right side
    22,347.28x = 378,568,476.38
  5. Step 5: Solve for x
    x = 378,568,476.38/22,347.28
  6. Step 6: Final answer
    x = 16,940.25

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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.