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Finding the Fourth Proportional to 13,263.68, 19,896.06 and 5,471.75

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Solution

The fourth proportional to 13,263.68, 19,896.06 and 5,471.75 is: 8,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.68 : 19,896.06 = 5,471.75 : x
  2. Step 2: Convert to fraction form
    13,263.68/19,896.06 = 5,471.75/x
  3. Step 3: Cross multiply
    13,263.68x = 19,896.06 × 5,471.75
  4. Step 4: Simplify right side
    13,263.68x = 108,866,266.31
  5. Step 5: Solve for x
    x = 108,866,266.31/13,263.68
  6. Step 6: Final answer
    x = 8,207.85

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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.