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Finding the Fourth Proportional to 16,234.16, 22,403.41 and 9,524.61

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Solution

The fourth proportional to 16,234.16, 22,403.41 and 9,524.61 is: 13,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.16 : 22,403.41 = 9,524.61 : x
  2. Step 2: Convert to fraction form
    16,234.16/22,403.41 = 9,524.61/x
  3. Step 3: Cross multiply
    16,234.16x = 22,403.41 × 9,524.61
  4. Step 4: Simplify right side
    16,234.16x = 213,383,719.11
  5. Step 5: Solve for x
    x = 213,383,719.11/16,234.16
  6. Step 6: Final answer
    x = 13,144.12

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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.