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Finding the Fourth Proportional to 17,786.16, 24,534.05 and 11,410.61

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Solution

The fourth proportional to 17,786.16, 24,534.05 and 11,410.61 is: 15,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.16 : 24,534.05 = 11,410.61 : x
  2. Step 2: Convert to fraction form
    17,786.16/24,534.05 = 11,410.61/x
  3. Step 3: Cross multiply
    17,786.16x = 24,534.05 × 11,410.61
  4. Step 4: Simplify right side
    17,786.16x = 279,948,296.55
  5. Step 5: Solve for x
    x = 279,948,296.55/17,786.16
  6. Step 6: Final answer
    x = 15,739.67

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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.