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Finding the Fourth Proportional to 20,858.40, 31,290.03 and 6,819.48

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Solution

The fourth proportional to 20,858.40, 31,290.03 and 6,819.48 is: 10,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,858.40 : 31,290.03 = 6,819.48 : x
  2. Step 2: Convert to fraction form
    20,858.40/31,290.03 = 6,819.48/x
  3. Step 3: Cross multiply
    20,858.40x = 31,290.03 × 6,819.48
  4. Step 4: Simplify right side
    20,858.40x = 213,381,733.78
  5. Step 5: Solve for x
    x = 213,381,733.78/20,858.40
  6. Step 6: Final answer
    x = 10,230.01

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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.