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Finding the Fourth Proportional to 16,111.98, 24,158.24 and 7,225.70

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Solution

The fourth proportional to 16,111.98, 24,158.24 and 7,225.70 is: 10,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.98 : 24,158.24 = 7,225.70 : x
  2. Step 2: Convert to fraction form
    16,111.98/24,158.24 = 7,225.70/x
  3. Step 3: Cross multiply
    16,111.98x = 24,158.24 × 7,225.70
  4. Step 4: Simplify right side
    16,111.98x = 174,560,037.85
  5. Step 5: Solve for x
    x = 174,560,037.85/16,111.98
  6. Step 6: Final answer
    x = 10,834.18

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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.