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Finding the Fourth Proportional to 22,932.29, 31,647.84 and 17,256.82

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Solution

The fourth proportional to 22,932.29, 31,647.84 and 17,256.82 is: 23,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.29 : 31,647.84 = 17,256.82 : x
  2. Step 2: Convert to fraction form
    22,932.29/31,647.84 = 17,256.82/x
  3. Step 3: Cross multiply
    22,932.29x = 31,647.84 × 17,256.82
  4. Step 4: Simplify right side
    22,932.29x = 546,141,078.27
  5. Step 5: Solve for x
    x = 546,141,078.27/22,932.29
  6. Step 6: Final answer
    x = 23,815.37

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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.