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Finding the Fourth Proportional to 23,530.46, 35,286.46 and 8,534.00

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Solution

The fourth proportional to 23,530.46, 35,286.46 and 8,534.00 is: 12,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.46 : 35,286.46 = 8,534.00 : x
  2. Step 2: Convert to fraction form
    23,530.46/35,286.46 = 8,534.00/x
  3. Step 3: Cross multiply
    23,530.46x = 35,286.46 × 8,534.00
  4. Step 4: Simplify right side
    23,530.46x = 301,134,716.52
  5. Step 5: Solve for x
    x = 301,134,716.52/23,530.46
  6. Step 6: Final answer
    x = 12,797.66

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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.