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Finding the Fourth Proportional to 18,864.14, 28,297.16 and 7,178.27

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Solution

The fourth proportional to 18,864.14, 28,297.16 and 7,178.27 is: 10,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,864.14 : 28,297.16 = 7,178.27 : x
  2. Step 2: Convert to fraction form
    18,864.14/28,297.16 = 7,178.27/x
  3. Step 3: Cross multiply
    18,864.14x = 28,297.16 × 7,178.27
  4. Step 4: Simplify right side
    18,864.14x = 203,124,618.82
  5. Step 5: Solve for x
    x = 203,124,618.82/18,864.14
  6. Step 6: Final answer
    x = 10,767.76

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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.