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Finding the Fourth Proportional to 23,622.84, 35,434.22 and 6,983.08

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Solution

The fourth proportional to 23,622.84, 35,434.22 and 6,983.08 is: 10,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.84 : 35,434.22 = 6,983.08 : x
  2. Step 2: Convert to fraction form
    23,622.84/35,434.22 = 6,983.08/x
  3. Step 3: Cross multiply
    23,622.84x = 35,434.22 × 6,983.08
  4. Step 4: Simplify right side
    23,622.84x = 247,439,993.00
  5. Step 5: Solve for x
    x = 247,439,993.00/23,622.84
  6. Step 6: Final answer
    x = 10,474.61

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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.