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Finding the Fourth Proportional to 24,857.44, 37,286.16 and 6,388

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Solution

The fourth proportional to 24,857.44, 37,286.16 and 6,388 is: 9,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.44 : 37,286.16 = 6,388 : x
  2. Step 2: Convert to fraction form
    24,857.44/37,286.16 = 6,388/x
  3. Step 3: Cross multiply
    24,857.44x = 37,286.16 × 6,388
  4. Step 4: Simplify right side
    24,857.44x = 238,183,990.08
  5. Step 5: Solve for x
    x = 238,183,990.08/24,857.44
  6. Step 6: Final answer
    x = 9,582.00

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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.