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Finding the Fourth Proportional to 24,822.43, 34,254.95 and 13,644.43

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Solution

The fourth proportional to 24,822.43, 34,254.95 and 13,644.43 is: 18,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.43 : 34,254.95 = 13,644.43 : x
  2. Step 2: Convert to fraction form
    24,822.43/34,254.95 = 13,644.43/x
  3. Step 3: Cross multiply
    24,822.43x = 34,254.95 × 13,644.43
  4. Step 4: Simplify right side
    24,822.43x = 467,389,113.57
  5. Step 5: Solve for x
    x = 467,389,113.57/24,822.43
  6. Step 6: Final answer
    x = 18,829.31

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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.