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Finding the Fourth Proportional to 23,077, 31,846.28 and 12,466.63

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Solution

The fourth proportional to 23,077, 31,846.28 and 12,466.63 is: 17,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077 : 31,846.28 = 12,466.63 : x
  2. Step 2: Convert to fraction form
    23,077/31,846.28 = 12,466.63/x
  3. Step 3: Cross multiply
    23,077x = 31,846.28 × 12,466.63
  4. Step 4: Simplify right side
    23,077x = 397,015,789.64
  5. Step 5: Solve for x
    x = 397,015,789.64/23,077
  6. Step 6: Final answer
    x = 17,203.96

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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.