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Finding the Fourth Proportional to 20,783.25, 31,155.84 and 7,625.61

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Solution

The fourth proportional to 20,783.25, 31,155.84 and 7,625.61 is: 11,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.25 : 31,155.84 = 7,625.61 : x
  2. Step 2: Convert to fraction form
    20,783.25/31,155.84 = 7,625.61/x
  3. Step 3: Cross multiply
    20,783.25x = 31,155.84 × 7,625.61
  4. Step 4: Simplify right side
    20,783.25x = 237,582,285.06
  5. Step 5: Solve for x
    x = 237,582,285.06/20,783.25
  6. Step 6: Final answer
    x = 11,431.43

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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.