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Finding the Fourth Proportional to 16,235.89, 22,410.63 and 9,524.23

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Solution

The fourth proportional to 16,235.89, 22,410.63 and 9,524.23 is: 13,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.89 : 22,410.63 = 9,524.23 : x
  2. Step 2: Convert to fraction form
    16,235.89/22,410.63 = 9,524.23/x
  3. Step 3: Cross multiply
    16,235.89x = 22,410.63 × 9,524.23
  4. Step 4: Simplify right side
    16,235.89x = 213,443,846.80
  5. Step 5: Solve for x
    x = 213,443,846.80/16,235.89
  6. Step 6: Final answer
    x = 13,146.43

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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.