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Finding the Fourth Proportional to 32,196.22, 44,433.36 and 17,857.46

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Solution

The fourth proportional to 32,196.22, 44,433.36 and 17,857.46 is: 24,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.22 : 44,433.36 = 17,857.46 : x
  2. Step 2: Convert to fraction form
    32,196.22/44,433.36 = 17,857.46/x
  3. Step 3: Cross multiply
    32,196.22x = 44,433.36 × 17,857.46
  4. Step 4: Simplify right side
    32,196.22x = 793,467,059.95
  5. Step 5: Solve for x
    x = 793,467,059.95/32,196.22
  6. Step 6: Final answer
    x = 24,644.73

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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.