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Finding the Fourth Proportional to 22,893.56, 31,592.77 and 12,822.35

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Solution

The fourth proportional to 22,893.56, 31,592.77 and 12,822.35 is: 17,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.56 : 31,592.77 = 12,822.35 : x
  2. Step 2: Convert to fraction form
    22,893.56/31,592.77 = 12,822.35/x
  3. Step 3: Cross multiply
    22,893.56x = 31,592.77 × 12,822.35
  4. Step 4: Simplify right side
    22,893.56x = 405,093,332.33
  5. Step 5: Solve for x
    x = 405,093,332.33/22,893.56
  6. Step 6: Final answer
    x = 17,694.65

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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.