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Finding the Fourth Proportional to 21,227.19, 31,840.79 and 8,076.48

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Solution

The fourth proportional to 21,227.19, 31,840.79 and 8,076.48 is: 12,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.19 : 31,840.79 = 8,076.48 : x
  2. Step 2: Convert to fraction form
    21,227.19/31,840.79 = 8,076.48/x
  3. Step 3: Cross multiply
    21,227.19x = 31,840.79 × 8,076.48
  4. Step 4: Simplify right side
    21,227.19x = 257,161,463.24
  5. Step 5: Solve for x
    x = 257,161,463.24/21,227.19
  6. Step 6: Final answer
    x = 12,114.72

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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.