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Finding the Fourth Proportional to 23,823.14, 35,739.34 and 7,182.34

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Solution

The fourth proportional to 23,823.14, 35,739.34 and 7,182.34 is: 10,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.14 : 35,739.34 = 7,182.34 : x
  2. Step 2: Convert to fraction form
    23,823.14/35,739.34 = 7,182.34/x
  3. Step 3: Cross multiply
    23,823.14x = 35,739.34 × 7,182.34
  4. Step 4: Simplify right side
    23,823.14x = 256,691,983.95
  5. Step 5: Solve for x
    x = 256,691,983.95/23,823.14
  6. Step 6: Final answer
    x = 10,774.90

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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.