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Finding the Fourth Proportional to 23,076.71, 31,845.87 and 12,466.34

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Solution

The fourth proportional to 23,076.71, 31,845.87 and 12,466.34 is: 17,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,076.71 : 31,845.87 = 12,466.34 : x
  2. Step 2: Convert to fraction form
    23,076.71/31,845.87 = 12,466.34/x
  3. Step 3: Cross multiply
    23,076.71x = 31,845.87 × 12,466.34
  4. Step 4: Simplify right side
    23,076.71x = 397,001,403.21
  5. Step 5: Solve for x
    x = 397,001,403.21/23,076.71
  6. Step 6: Final answer
    x = 17,203.55

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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.