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Finding the Fourth Proportional to 22,345.34, 30,836.83 and 12,274.02

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Solution

The fourth proportional to 22,345.34, 30,836.83 and 12,274.02 is: 16,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.34 : 30,836.83 = 12,274.02 : x
  2. Step 2: Convert to fraction form
    22,345.34/30,836.83 = 12,274.02/x
  3. Step 3: Cross multiply
    22,345.34x = 30,836.83 × 12,274.02
  4. Step 4: Simplify right side
    22,345.34x = 378,491,837.47
  5. Step 5: Solve for x
    x = 378,491,837.47/22,345.34
  6. Step 6: Final answer
    x = 16,938.29

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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.