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Finding the Fourth Proportional to 25,583.92, 38,381.04 and 8,049.65

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Solution

The fourth proportional to 25,583.92, 38,381.04 and 8,049.65 is: 12,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583.92 : 38,381.04 = 8,049.65 : x
  2. Step 2: Convert to fraction form
    25,583.92/38,381.04 = 8,049.65/x
  3. Step 3: Cross multiply
    25,583.92x = 38,381.04 × 8,049.65
  4. Step 4: Simplify right side
    25,583.92x = 308,953,746.73
  5. Step 5: Solve for x
    x = 308,953,746.73/25,583.92
  6. Step 6: Final answer
    x = 12,076.09

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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.