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Finding the Fourth Proportional to 13,711.36, 20,574.73 and 7,471.81

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Solution

The fourth proportional to 13,711.36, 20,574.73 and 7,471.81 is: 11,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.36 : 20,574.73 = 7,471.81 : x
  2. Step 2: Convert to fraction form
    13,711.36/20,574.73 = 7,471.81/x
  3. Step 3: Cross multiply
    13,711.36x = 20,574.73 × 7,471.81
  4. Step 4: Simplify right side
    13,711.36x = 153,730,473.36
  5. Step 5: Solve for x
    x = 153,730,473.36/13,711.36
  6. Step 6: Final answer
    x = 11,211.91

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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.