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Finding the Fourth Proportional to 23,232.94, 32,063.04 and 13,161.46

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Solution

The fourth proportional to 23,232.94, 32,063.04 and 13,161.46 is: 18,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,232.94 : 32,063.04 = 13,161.46 : x
  2. Step 2: Convert to fraction form
    23,232.94/32,063.04 = 13,161.46/x
  3. Step 3: Cross multiply
    23,232.94x = 32,063.04 × 13,161.46
  4. Step 4: Simplify right side
    23,232.94x = 421,996,418.44
  5. Step 5: Solve for x
    x = 421,996,418.44/23,232.94
  6. Step 6: Final answer
    x = 18,163.72

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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.