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Finding the Fourth Proportional to 23,580.75, 35,363.61 and 7,782.84

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Solution

The fourth proportional to 23,580.75, 35,363.61 and 7,782.84 is: 11,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.75 : 35,363.61 = 7,782.84 : x
  2. Step 2: Convert to fraction form
    23,580.75/35,363.61 = 7,782.84/x
  3. Step 3: Cross multiply
    23,580.75x = 35,363.61 × 7,782.84
  4. Step 4: Simplify right side
    23,580.75x = 275,229,318.45
  5. Step 5: Solve for x
    x = 275,229,318.45/23,580.75
  6. Step 6: Final answer
    x = 11,671.78

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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.