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Finding the Fourth Proportional to 25,694.52, 38,541.74 and 7,226.52

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Solution

The fourth proportional to 25,694.52, 38,541.74 and 7,226.52 is: 10,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.52 : 38,541.74 = 7,226.52 : x
  2. Step 2: Convert to fraction form
    25,694.52/38,541.74 = 7,226.52/x
  3. Step 3: Cross multiply
    25,694.52x = 38,541.74 × 7,226.52
  4. Step 4: Simplify right side
    25,694.52x = 278,522,654.94
  5. Step 5: Solve for x
    x = 278,522,654.94/25,694.52
  6. Step 6: Final answer
    x = 10,839.77

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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.