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Finding the Fourth Proportional to 25,857.60, 38,786.36 and 8,330

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Solution

The fourth proportional to 25,857.60, 38,786.36 and 8,330 is: 12,494.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.60 : 38,786.36 = 8,330 : x
  2. Step 2: Convert to fraction form
    25,857.60/38,786.36 = 8,330/x
  3. Step 3: Cross multiply
    25,857.60x = 38,786.36 × 8,330
  4. Step 4: Simplify right side
    25,857.60x = 323,090,378.80
  5. Step 5: Solve for x
    x = 323,090,378.80/25,857.60
  6. Step 6: Final answer
    x = 12,494.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.