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Finding the Fourth Proportional to 22,311.12, 33,472.76 and 12,457.48

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Solution

The fourth proportional to 22,311.12, 33,472.76 and 12,457.48 is: 18,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,311.12 : 33,472.76 = 12,457.48 : x
  2. Step 2: Convert to fraction form
    22,311.12/33,472.76 = 12,457.48/x
  3. Step 3: Cross multiply
    22,311.12x = 33,472.76 × 12,457.48
  4. Step 4: Simplify right side
    22,311.12x = 416,986,238.24
  5. Step 5: Solve for x
    x = 416,986,238.24/22,311.12
  6. Step 6: Final answer
    x = 18,689.61

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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.