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Finding the Fourth Proportional to 18,224, 25,143.36 and 11,146.88

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Solution

The fourth proportional to 18,224, 25,143.36 and 11,146.88 is: 15,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224 : 25,143.36 = 11,146.88 : x
  2. Step 2: Convert to fraction form
    18,224/25,143.36 = 11,146.88/x
  3. Step 3: Cross multiply
    18,224x = 25,143.36 × 11,146.88
  4. Step 4: Simplify right side
    18,224x = 280,270,016.72
  5. Step 5: Solve for x
    x = 280,270,016.72/18,224
  6. Step 6: Final answer
    x = 15,379.17

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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.