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Finding the Fourth Proportional to 16,511.37, 24,770.70 and 7,741.50

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Solution

The fourth proportional to 16,511.37, 24,770.70 and 7,741.50 is: 11,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.37 : 24,770.70 = 7,741.50 : x
  2. Step 2: Convert to fraction form
    16,511.37/24,770.70 = 7,741.50/x
  3. Step 3: Cross multiply
    16,511.37x = 24,770.70 × 7,741.50
  4. Step 4: Simplify right side
    16,511.37x = 191,762,374.05
  5. Step 5: Solve for x
    x = 191,762,374.05/16,511.37
  6. Step 6: Final answer
    x = 11,613.96

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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.