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Finding the Fourth Proportional to 13,647.34, 20,471.10 and 5,856.22

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Solution

The fourth proportional to 13,647.34, 20,471.10 and 5,856.22 is: 8,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.34 : 20,471.10 = 5,856.22 : x
  2. Step 2: Convert to fraction form
    13,647.34/20,471.10 = 5,856.22/x
  3. Step 3: Cross multiply
    13,647.34x = 20,471.10 × 5,856.22
  4. Step 4: Simplify right side
    13,647.34x = 119,883,265.24
  5. Step 5: Solve for x
    x = 119,883,265.24/13,647.34
  6. Step 6: Final answer
    x = 8,784.37

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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.