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Finding the Fourth Proportional to 23,077.78, 31,846.17 and 13,008.58

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Solution

The fourth proportional to 23,077.78, 31,846.17 and 13,008.58 is: 17,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.78 : 31,846.17 = 13,008.58 : x
  2. Step 2: Convert to fraction form
    23,077.78/31,846.17 = 13,008.58/x
  3. Step 3: Cross multiply
    23,077.78x = 31,846.17 × 13,008.58
  4. Step 4: Simplify right side
    23,077.78x = 414,273,450.14
  5. Step 5: Solve for x
    x = 414,273,450.14/23,077.78
  6. Step 6: Final answer
    x = 17,951.18

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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.