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Finding the Fourth Proportional to 23,822.22, 32,874.86 and 13,211.76

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Solution

The fourth proportional to 23,822.22, 32,874.86 and 13,211.76 is: 18,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.22 : 32,874.86 = 13,211.76 : x
  2. Step 2: Convert to fraction form
    23,822.22/32,874.86 = 13,211.76/x
  3. Step 3: Cross multiply
    23,822.22x = 32,874.86 × 13,211.76
  4. Step 4: Simplify right side
    23,822.22x = 434,334,760.35
  5. Step 5: Solve for x
    x = 434,334,760.35/23,822.22
  6. Step 6: Final answer
    x = 18,232.34

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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.