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Finding the Fourth Proportional to 20,801.87, 31,208.27 and 7,476.20

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Solution

The fourth proportional to 20,801.87, 31,208.27 and 7,476.20 is: 11,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801.87 : 31,208.27 = 7,476.20 : x
  2. Step 2: Convert to fraction form
    20,801.87/31,208.27 = 7,476.20/x
  3. Step 3: Cross multiply
    20,801.87x = 31,208.27 × 7,476.20
  4. Step 4: Simplify right side
    20,801.87x = 233,319,074.75
  5. Step 5: Solve for x
    x = 233,319,074.75/20,801.87
  6. Step 6: Final answer
    x = 11,216.26

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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.