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Finding the Fourth Proportional to 13,181.67, 19,770.42 and 4,416.66

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Solution

The fourth proportional to 13,181.67, 19,770.42 and 4,416.66 is: 6,624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.67 : 19,770.42 = 4,416.66 : x
  2. Step 2: Convert to fraction form
    13,181.67/19,770.42 = 4,416.66/x
  3. Step 3: Cross multiply
    13,181.67x = 19,770.42 × 4,416.66
  4. Step 4: Simplify right side
    13,181.67x = 87,319,223.20
  5. Step 5: Solve for x
    x = 87,319,223.20/13,181.67
  6. Step 6: Final answer
    x = 6,624.29

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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.