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Finding the Fourth Proportional to 21,247.65, 31,892.94 and 8,775.09

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Solution

The fourth proportional to 21,247.65, 31,892.94 and 8,775.09 is: 13,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,247.65 : 31,892.94 = 8,775.09 : x
  2. Step 2: Convert to fraction form
    21,247.65/31,892.94 = 8,775.09/x
  3. Step 3: Cross multiply
    21,247.65x = 31,892.94 × 8,775.09
  4. Step 4: Simplify right side
    21,247.65x = 279,863,418.86
  5. Step 5: Solve for x
    x = 279,863,418.86/21,247.65
  6. Step 6: Final answer
    x = 13,171.50

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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.