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Finding the Fourth Proportional to 24,174.23, 36,236.40 and 10,142.40

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Solution

The fourth proportional to 24,174.23, 36,236.40 and 10,142.40 is: 15,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.23 : 36,236.40 = 10,142.40 : x
  2. Step 2: Convert to fraction form
    24,174.23/36,236.40 = 10,142.40/x
  3. Step 3: Cross multiply
    24,174.23x = 36,236.40 × 10,142.40
  4. Step 4: Simplify right side
    24,174.23x = 367,524,103.24
  5. Step 5: Solve for x
    x = 367,524,103.24/24,174.23
  6. Step 6: Final answer
    x = 15,203.14

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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.