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Finding the Fourth Proportional to 21,825.67, 32,739.31 and 7,034.80

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Solution

The fourth proportional to 21,825.67, 32,739.31 and 7,034.80 is: 10,552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825.67 : 32,739.31 = 7,034.80 : x
  2. Step 2: Convert to fraction form
    21,825.67/32,739.31 = 7,034.80/x
  3. Step 3: Cross multiply
    21,825.67x = 32,739.31 × 7,034.80
  4. Step 4: Simplify right side
    21,825.67x = 230,314,424.93
  5. Step 5: Solve for x
    x = 230,314,424.93/21,825.67
  6. Step 6: Final answer
    x = 10,552.46

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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.