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Finding the Fourth Proportional to 22,830.39, 34,242.39 and 7,837.27

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Solution

The fourth proportional to 22,830.39, 34,242.39 and 7,837.27 is: 11,754.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.39 : 34,242.39 = 7,837.27 : x
  2. Step 2: Convert to fraction form
    22,830.39/34,242.39 = 7,837.27/x
  3. Step 3: Cross multiply
    22,830.39x = 34,242.39 × 7,837.27
  4. Step 4: Simplify right side
    22,830.39x = 268,366,855.88
  5. Step 5: Solve for x
    x = 268,366,855.88/22,830.39
  6. Step 6: Final answer
    x = 11,754.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.