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Finding the Fourth Proportional to 20,099.85, 27,738.18 and 11,024.64

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Solution

The fourth proportional to 20,099.85, 27,738.18 and 11,024.64 is: 15,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.85 : 27,738.18 = 11,024.64 : x
  2. Step 2: Convert to fraction form
    20,099.85/27,738.18 = 11,024.64/x
  3. Step 3: Cross multiply
    20,099.85x = 27,738.18 × 11,024.64
  4. Step 4: Simplify right side
    20,099.85x = 305,803,448.76
  5. Step 5: Solve for x
    x = 305,803,448.76/20,099.85
  6. Step 6: Final answer
    x = 15,214.22

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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.