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Finding the Fourth Proportional to 13,711.14, 18,921.74 and 7,742.86

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Solution

The fourth proportional to 13,711.14, 18,921.74 and 7,742.86 is: 10,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.14 : 18,921.74 = 7,742.86 : x
  2. Step 2: Convert to fraction form
    13,711.14/18,921.74 = 7,742.86/x
  3. Step 3: Cross multiply
    13,711.14x = 18,921.74 × 7,742.86
  4. Step 4: Simplify right side
    13,711.14x = 146,508,297.76
  5. Step 5: Solve for x
    x = 146,508,297.76/13,711.14
  6. Step 6: Final answer
    x = 10,685.35

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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.