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Finding the Fourth Proportional to 22,345.62, 30,837.30 and 12,274.47

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Solution

The fourth proportional to 22,345.62, 30,837.30 and 12,274.47 is: 16,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.62 : 30,837.30 = 12,274.47 : x
  2. Step 2: Convert to fraction form
    22,345.62/30,837.30 = 12,274.47/x
  3. Step 3: Cross multiply
    22,345.62x = 30,837.30 × 12,274.47
  4. Step 4: Simplify right side
    22,345.62x = 378,511,513.73
  5. Step 5: Solve for x
    x = 378,511,513.73/22,345.62
  6. Step 6: Final answer
    x = 16,938.96

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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.