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Finding the Fourth Proportional to 20,873.31, 31,314.07 and 7,725.80

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Solution

The fourth proportional to 20,873.31, 31,314.07 and 7,725.80 is: 11,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.31 : 31,314.07 = 7,725.80 : x
  2. Step 2: Convert to fraction form
    20,873.31/31,314.07 = 7,725.80/x
  3. Step 3: Cross multiply
    20,873.31x = 31,314.07 × 7,725.80
  4. Step 4: Simplify right side
    20,873.31x = 241,926,085.44
  5. Step 5: Solve for x
    x = 241,926,085.44/20,873.31
  6. Step 6: Final answer
    x = 11,590.21

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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.