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Finding the Fourth Proportional to 20,866.82, 31,300.23 and 5,283.23

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Solution

The fourth proportional to 20,866.82, 31,300.23 and 5,283.23 is: 7,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866.82 : 31,300.23 = 5,283.23 : x
  2. Step 2: Convert to fraction form
    20,866.82/31,300.23 = 5,283.23/x
  3. Step 3: Cross multiply
    20,866.82x = 31,300.23 × 5,283.23
  4. Step 4: Simplify right side
    20,866.82x = 165,366,314.14
  5. Step 5: Solve for x
    x = 165,366,314.14/20,866.82
  6. Step 6: Final answer
    x = 7,924.85

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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.