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Finding the Fourth Proportional to 22,893, 31,593.92 and 12,822.24

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Solution

The fourth proportional to 22,893, 31,593.92 and 12,822.24 is: 17,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893 : 31,593.92 = 12,822.24 : x
  2. Step 2: Convert to fraction form
    22,893/31,593.92 = 12,822.24/x
  3. Step 3: Cross multiply
    22,893x = 31,593.92 × 12,822.24
  4. Step 4: Simplify right side
    22,893x = 405,104,824.78
  5. Step 5: Solve for x
    x = 405,104,824.78/22,893
  6. Step 6: Final answer
    x = 17,695.58

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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.