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Finding the Fourth Proportional to 16,414.38, 24,624.90 and 7,055.34

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Solution

The fourth proportional to 16,414.38, 24,624.90 and 7,055.34 is: 10,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.38 : 24,624.90 = 7,055.34 : x
  2. Step 2: Convert to fraction form
    16,414.38/24,624.90 = 7,055.34/x
  3. Step 3: Cross multiply
    16,414.38x = 24,624.90 × 7,055.34
  4. Step 4: Simplify right side
    16,414.38x = 173,737,041.97
  5. Step 5: Solve for x
    x = 173,737,041.97/16,414.38
  6. Step 6: Final answer
    x = 10,584.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.