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Finding the Fourth Proportional to 16,074.98, 24,122.50 and 7,190.30

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Solution

The fourth proportional to 16,074.98, 24,122.50 and 7,190.30 is: 10,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.98 : 24,122.50 = 7,190.30 : x
  2. Step 2: Convert to fraction form
    16,074.98/24,122.50 = 7,190.30/x
  3. Step 3: Cross multiply
    16,074.98x = 24,122.50 × 7,190.30
  4. Step 4: Simplify right side
    16,074.98x = 173,448,011.75
  5. Step 5: Solve for x
    x = 173,448,011.75/16,074.98
  6. Step 6: Final answer
    x = 10,789.94

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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.