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Finding the Fourth Proportional to 16,202.34, 24,313.08 and 6,841.76

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Solution

The fourth proportional to 16,202.34, 24,313.08 and 6,841.76 is: 10,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.34 : 24,313.08 = 6,841.76 : x
  2. Step 2: Convert to fraction form
    16,202.34/24,313.08 = 6,841.76/x
  3. Step 3: Cross multiply
    16,202.34x = 24,313.08 × 6,841.76
  4. Step 4: Simplify right side
    16,202.34x = 166,344,136.66
  5. Step 5: Solve for x
    x = 166,344,136.66/16,202.34
  6. Step 6: Final answer
    x = 10,266.67

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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.