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Finding the Fourth Proportional to 18,237.24, 27,358.26 and 7,142.49

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Solution

The fourth proportional to 18,237.24, 27,358.26 and 7,142.49 is: 10,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,237.24 : 27,358.26 = 7,142.49 : x
  2. Step 2: Convert to fraction form
    18,237.24/27,358.26 = 7,142.49/x
  3. Step 3: Cross multiply
    18,237.24x = 27,358.26 × 7,142.49
  4. Step 4: Simplify right side
    18,237.24x = 195,406,046.03
  5. Step 5: Solve for x
    x = 195,406,046.03/18,237.24
  6. Step 6: Final answer
    x = 10,714.67

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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.