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Finding the Fourth Proportional to 16,234.98, 22,404.43 and 9,524.58

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Solution

The fourth proportional to 16,234.98, 22,404.43 and 9,524.58 is: 13,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.98 : 22,404.43 = 9,524.58 : x
  2. Step 2: Convert to fraction form
    16,234.98/22,404.43 = 9,524.58/x
  3. Step 3: Cross multiply
    16,234.98x = 22,404.43 × 9,524.58
  4. Step 4: Simplify right side
    16,234.98x = 213,392,785.89
  5. Step 5: Solve for x
    x = 213,392,785.89/16,234.98
  6. Step 6: Final answer
    x = 13,144.01

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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.