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Finding the Fourth Proportional to 24,129.14, 36,206.04 and 11,493.20

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Solution

The fourth proportional to 24,129.14, 36,206.04 and 11,493.20 is: 17,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.14 : 36,206.04 = 11,493.20 : x
  2. Step 2: Convert to fraction form
    24,129.14/36,206.04 = 11,493.20/x
  3. Step 3: Cross multiply
    24,129.14x = 36,206.04 × 11,493.20
  4. Step 4: Simplify right side
    24,129.14x = 416,123,077.90
  5. Step 5: Solve for x
    x = 416,123,077.90/24,129.14
  6. Step 6: Final answer
    x = 17,245.67

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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.