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Finding the Fourth Proportional to 25,376.68, 38,068.67 and 7,847.88

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Solution

The fourth proportional to 25,376.68, 38,068.67 and 7,847.88 is: 11,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376.68 : 38,068.67 = 7,847.88 : x
  2. Step 2: Convert to fraction form
    25,376.68/38,068.67 = 7,847.88/x
  3. Step 3: Cross multiply
    25,376.68x = 38,068.67 × 7,847.88
  4. Step 4: Simplify right side
    25,376.68x = 298,758,353.92
  5. Step 5: Solve for x
    x = 298,758,353.92/25,376.68
  6. Step 6: Final answer
    x = 11,772.95

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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.