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Finding the Fourth Proportional to 13,105.67, 19,652.47 and 4,219.39

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Solution

The fourth proportional to 13,105.67, 19,652.47 and 4,219.39 is: 6,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.67 : 19,652.47 = 4,219.39 : x
  2. Step 2: Convert to fraction form
    13,105.67/19,652.47 = 4,219.39/x
  3. Step 3: Cross multiply
    13,105.67x = 19,652.47 × 4,219.39
  4. Step 4: Simplify right side
    13,105.67x = 82,921,473.14
  5. Step 5: Solve for x
    x = 82,921,473.14/13,105.67
  6. Step 6: Final answer
    x = 6,327.14

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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.