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Finding the Fourth Proportional to 20,969.25, 31,453.88 and 5,386.88

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Solution

The fourth proportional to 20,969.25, 31,453.88 and 5,386.88 is: 8,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.25 : 31,453.88 = 5,386.88 : x
  2. Step 2: Convert to fraction form
    20,969.25/31,453.88 = 5,386.88/x
  3. Step 3: Cross multiply
    20,969.25x = 31,453.88 × 5,386.88
  4. Step 4: Simplify right side
    20,969.25x = 169,438,092.89
  5. Step 5: Solve for x
    x = 169,438,092.89/20,969.25
  6. Step 6: Final answer
    x = 8,080.31

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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.