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Finding the Fourth Proportional to 21,846.64, 32,755.92 and 9,374.80

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Solution

The fourth proportional to 21,846.64, 32,755.92 and 9,374.80 is: 14,056.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846.64 : 32,755.92 = 9,374.80 : x
  2. Step 2: Convert to fraction form
    21,846.64/32,755.92 = 9,374.80/x
  3. Step 3: Cross multiply
    21,846.64x = 32,755.92 × 9,374.80
  4. Step 4: Simplify right side
    21,846.64x = 307,080,198.82
  5. Step 5: Solve for x
    x = 307,080,198.82/21,846.64
  6. Step 6: Final answer
    x = 14,056.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.