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Finding the Fourth Proportional to 16,334.91, 22,546.80 and 9,624.42

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Solution

The fourth proportional to 16,334.91, 22,546.80 and 9,624.42 is: 13,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.91 : 22,546.80 = 9,624.42 : x
  2. Step 2: Convert to fraction form
    16,334.91/22,546.80 = 9,624.42/x
  3. Step 3: Cross multiply
    16,334.91x = 22,546.80 × 9,624.42
  4. Step 4: Simplify right side
    16,334.91x = 216,999,872.86
  5. Step 5: Solve for x
    x = 216,999,872.86/16,334.91
  6. Step 6: Final answer
    x = 13,284.42

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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.