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Finding the Fourth Proportional to 24,174.77, 36,263.92 and 10,120.67

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Solution

The fourth proportional to 24,174.77, 36,263.92 and 10,120.67 is: 15,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174.77 : 36,263.92 = 10,120.67 : x
  2. Step 2: Convert to fraction form
    24,174.77/36,263.92 = 10,120.67/x
  3. Step 3: Cross multiply
    24,174.77x = 36,263.92 × 10,120.67
  4. Step 4: Simplify right side
    24,174.77x = 367,014,935.30
  5. Step 5: Solve for x
    x = 367,014,935.30/24,174.77
  6. Step 6: Final answer
    x = 15,181.73

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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.