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Finding the Fourth Proportional to 13,471.81, 20,253.33 and 10,857.66

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Solution

The fourth proportional to 13,471.81, 20,253.33 and 10,857.66 is: 16,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.81 : 20,253.33 = 10,857.66 : x
  2. Step 2: Convert to fraction form
    13,471.81/20,253.33 = 10,857.66/x
  3. Step 3: Cross multiply
    13,471.81x = 20,253.33 × 10,857.66
  4. Step 4: Simplify right side
    13,471.81x = 219,903,771.01
  5. Step 5: Solve for x
    x = 219,903,771.01/13,471.81
  6. Step 6: Final answer
    x = 16,323.26

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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.