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Finding the Fourth Proportional to 23,232.96, 34,850.52 and 10,086.12

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Solution

The fourth proportional to 23,232.96, 34,850.52 and 10,086.12 is: 15,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.96 : 34,850.52 = 10,086.12 : x
  2. Step 2: Convert to fraction form
    23,232.96/34,850.52 = 10,086.12/x
  3. Step 3: Cross multiply
    23,232.96x = 34,850.52 × 10,086.12
  4. Step 4: Simplify right side
    23,232.96x = 351,506,526.78
  5. Step 5: Solve for x
    x = 351,506,526.78/23,232.96
  6. Step 6: Final answer
    x = 15,129.65

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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.