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Finding the Fourth Proportional to 22,716.56, 34,063.32 and 10,394

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Solution

The fourth proportional to 22,716.56, 34,063.32 and 10,394 is: 15,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716.56 : 34,063.32 = 10,394 : x
  2. Step 2: Convert to fraction form
    22,716.56/34,063.32 = 10,394/x
  3. Step 3: Cross multiply
    22,716.56x = 34,063.32 × 10,394
  4. Step 4: Simplify right side
    22,716.56x = 354,054,148.08
  5. Step 5: Solve for x
    x = 354,054,148.08/22,716.56
  6. Step 6: Final answer
    x = 15,585.73

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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.