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Finding the Fourth Proportional to 23,453.68, 32,366.02 and 12,843.22

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Solution

The fourth proportional to 23,453.68, 32,366.02 and 12,843.22 is: 17,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,453.68 : 32,366.02 = 12,843.22 : x
  2. Step 2: Convert to fraction form
    23,453.68/32,366.02 = 12,843.22/x
  3. Step 3: Cross multiply
    23,453.68x = 32,366.02 × 12,843.22
  4. Step 4: Simplify right side
    23,453.68x = 415,683,689.34
  5. Step 5: Solve for x
    x = 415,683,689.34/23,453.68
  6. Step 6: Final answer
    x = 17,723.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.