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Finding the Fourth Proportional to 18,620.42, 27,931 and 6,931.28

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Solution

The fourth proportional to 18,620.42, 27,931 and 6,931.28 is: 10,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,620.42 : 27,931 = 6,931.28 : x
  2. Step 2: Convert to fraction form
    18,620.42/27,931 = 6,931.28/x
  3. Step 3: Cross multiply
    18,620.42x = 27,931 × 6,931.28
  4. Step 4: Simplify right side
    18,620.42x = 193,597,581.68
  5. Step 5: Solve for x
    x = 193,597,581.68/18,620.42
  6. Step 6: Final answer
    x = 10,397.06

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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.