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Finding the Fourth Proportional to 20,677.94, 31,012.31 and 5,886.58

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Solution

The fourth proportional to 20,677.94, 31,012.31 and 5,886.58 is: 8,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,677.94 : 31,012.31 = 5,886.58 : x
  2. Step 2: Convert to fraction form
    20,677.94/31,012.31 = 5,886.58/x
  3. Step 3: Cross multiply
    20,677.94x = 31,012.31 × 5,886.58
  4. Step 4: Simplify right side
    20,677.94x = 182,556,443.80
  5. Step 5: Solve for x
    x = 182,556,443.80/20,677.94
  6. Step 6: Final answer
    x = 8,828.56

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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.