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Finding the Fourth Proportional to 13,711.74, 18,922.20 and 7,743.81

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Solution

The fourth proportional to 13,711.74, 18,922.20 and 7,743.81 is: 10,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.74 : 18,922.20 = 7,743.81 : x
  2. Step 2: Convert to fraction form
    13,711.74/18,922.20 = 7,743.81/x
  3. Step 3: Cross multiply
    13,711.74x = 18,922.20 × 7,743.81
  4. Step 4: Simplify right side
    13,711.74x = 146,529,921.58
  5. Step 5: Solve for x
    x = 146,529,921.58/13,711.74
  6. Step 6: Final answer
    x = 10,686.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.