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Finding the Fourth Proportional to 22,892.42, 34,338.29 and 6,252.43

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Solution

The fourth proportional to 22,892.42, 34,338.29 and 6,252.43 is: 9,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.42 : 34,338.29 = 6,252.43 : x
  2. Step 2: Convert to fraction form
    22,892.42/34,338.29 = 6,252.43/x
  3. Step 3: Cross multiply
    22,892.42x = 34,338.29 × 6,252.43
  4. Step 4: Simplify right side
    22,892.42x = 214,697,697.50
  5. Step 5: Solve for x
    x = 214,697,697.50/22,892.42
  6. Step 6: Final answer
    x = 9,378.55

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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.