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Finding the Fourth Proportional to 23,216.82, 34,825.68 and 5,686.80

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Solution

The fourth proportional to 23,216.82, 34,825.68 and 5,686.80 is: 8,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.82 : 34,825.68 = 5,686.80 : x
  2. Step 2: Convert to fraction form
    23,216.82/34,825.68 = 5,686.80/x
  3. Step 3: Cross multiply
    23,216.82x = 34,825.68 × 5,686.80
  4. Step 4: Simplify right side
    23,216.82x = 198,046,677.02
  5. Step 5: Solve for x
    x = 198,046,677.02/23,216.82
  6. Step 6: Final answer
    x = 8,530.31

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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.