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Finding the Fourth Proportional to 20,872.71, 31,301.28 and 8,388.51

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Solution

The fourth proportional to 20,872.71, 31,301.28 and 8,388.51 is: 12,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.71 : 31,301.28 = 8,388.51 : x
  2. Step 2: Convert to fraction form
    20,872.71/31,301.28 = 8,388.51/x
  3. Step 3: Cross multiply
    20,872.71x = 31,301.28 × 8,388.51
  4. Step 4: Simplify right side
    20,872.71x = 262,571,100.29
  5. Step 5: Solve for x
    x = 262,571,100.29/20,872.71
  6. Step 6: Final answer
    x = 12,579.64

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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.