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Finding the Fourth Proportional to 13,181.85, 19,765.94 and 4,861.53

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Solution

The fourth proportional to 13,181.85, 19,765.94 and 4,861.53 is: 7,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.85 : 19,765.94 = 4,861.53 : x
  2. Step 2: Convert to fraction form
    13,181.85/19,765.94 = 4,861.53/x
  3. Step 3: Cross multiply
    13,181.85x = 19,765.94 × 4,861.53
  4. Step 4: Simplify right side
    13,181.85x = 96,092,685.98
  5. Step 5: Solve for x
    x = 96,092,685.98/13,181.85
  6. Step 6: Final answer
    x = 7,289.77

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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.