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Finding the Fourth Proportional to 23,086.76, 34,634.46 and 9,236.84

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Solution

The fourth proportional to 23,086.76, 34,634.46 and 9,236.84 is: 13,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.76 : 34,634.46 = 9,236.84 : x
  2. Step 2: Convert to fraction form
    23,086.76/34,634.46 = 9,236.84/x
  3. Step 3: Cross multiply
    23,086.76x = 34,634.46 × 9,236.84
  4. Step 4: Simplify right side
    23,086.76x = 319,912,965.51
  5. Step 5: Solve for x
    x = 319,912,965.51/23,086.76
  6. Step 6: Final answer
    x = 13,856.99

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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.