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Finding the Fourth Proportional to 16,422.76, 22,664.10 and 8,971.24

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Solution

The fourth proportional to 16,422.76, 22,664.10 and 8,971.24 is: 12,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.76 : 22,664.10 = 8,971.24 : x
  2. Step 2: Convert to fraction form
    16,422.76/22,664.10 = 8,971.24/x
  3. Step 3: Cross multiply
    16,422.76x = 22,664.10 × 8,971.24
  4. Step 4: Simplify right side
    16,422.76x = 203,325,080.48
  5. Step 5: Solve for x
    x = 203,325,080.48/16,422.76
  6. Step 6: Final answer
    x = 12,380.69

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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.