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Finding the Fourth Proportional to 16,624.50, 22,942.07 and 9,454.23

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Solution

The fourth proportional to 16,624.50, 22,942.07 and 9,454.23 is: 13,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,624.50 : 22,942.07 = 9,454.23 : x
  2. Step 2: Convert to fraction form
    16,624.50/22,942.07 = 9,454.23/x
  3. Step 3: Cross multiply
    16,624.50x = 22,942.07 × 9,454.23
  4. Step 4: Simplify right side
    16,624.50x = 216,899,606.46
  5. Step 5: Solve for x
    x = 216,899,606.46/16,624.50
  6. Step 6: Final answer
    x = 13,046.99

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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.