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Finding the Fourth Proportional to 13,711.80, 18,923.02 and 7,743.72

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Solution

The fourth proportional to 13,711.80, 18,923.02 and 7,743.72 is: 10,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.80 : 18,923.02 = 7,743.72 : x
  2. Step 2: Convert to fraction form
    13,711.80/18,923.02 = 7,743.72/x
  3. Step 3: Cross multiply
    13,711.80x = 18,923.02 × 7,743.72
  4. Step 4: Simplify right side
    13,711.80x = 146,534,568.43
  5. Step 5: Solve for x
    x = 146,534,568.43/13,711.80
  6. Step 6: Final answer
    x = 10,686.75

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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.