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Finding the Fourth Proportional to 20,863.68, 31,302.51 and 6,824.36

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Solution

The fourth proportional to 20,863.68, 31,302.51 and 6,824.36 is: 10,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.68 : 31,302.51 = 6,824.36 : x
  2. Step 2: Convert to fraction form
    20,863.68/31,302.51 = 6,824.36/x
  3. Step 3: Cross multiply
    20,863.68x = 31,302.51 × 6,824.36
  4. Step 4: Simplify right side
    20,863.68x = 213,619,440.63
  5. Step 5: Solve for x
    x = 213,619,440.63/20,863.68
  6. Step 6: Final answer
    x = 10,238.82

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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.