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Finding the Fourth Proportional to 25,362.92, 38,049.16 and 7,828.64

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Solution

The fourth proportional to 25,362.92, 38,049.16 and 7,828.64 is: 11,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.92 : 38,049.16 = 7,828.64 : x
  2. Step 2: Convert to fraction form
    25,362.92/38,049.16 = 7,828.64/x
  3. Step 3: Cross multiply
    25,362.92x = 38,049.16 × 7,828.64
  4. Step 4: Simplify right side
    25,362.92x = 297,873,251.49
  5. Step 5: Solve for x
    x = 297,873,251.49/25,362.92
  6. Step 6: Final answer
    x = 11,744.44

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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.