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Finding the Fourth Proportional to 13,471.52, 20,206.67 and 5,155.45

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Solution

The fourth proportional to 13,471.52, 20,206.67 and 5,155.45 is: 7,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.52 : 20,206.67 = 5,155.45 : x
  2. Step 2: Convert to fraction form
    13,471.52/20,206.67 = 5,155.45/x
  3. Step 3: Cross multiply
    13,471.52x = 20,206.67 × 5,155.45
  4. Step 4: Simplify right side
    13,471.52x = 104,174,400.56
  5. Step 5: Solve for x
    x = 104,174,400.56/13,471.52
  6. Step 6: Final answer
    x = 7,732.94

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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.