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Finding the Fourth Proportional to 23,076.84, 31,846.05 and 12,466.47

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Solution

The fourth proportional to 23,076.84, 31,846.05 and 12,466.47 is: 17,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.84 : 31,846.05 = 12,466.47 : x
  2. Step 2: Convert to fraction form
    23,076.84/31,846.05 = 12,466.47/x
  3. Step 3: Cross multiply
    23,076.84x = 31,846.05 × 12,466.47
  4. Step 4: Simplify right side
    23,076.84x = 397,007,826.94
  5. Step 5: Solve for x
    x = 397,007,826.94/23,076.84
  6. Step 6: Final answer
    x = 17,203.73

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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.