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Finding the Fourth Proportional to 20,153.85, 27,812.10 and 11,201.14

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Solution

The fourth proportional to 20,153.85, 27,812.10 and 11,201.14 is: 15,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.85 : 27,812.10 = 11,201.14 : x
  2. Step 2: Convert to fraction form
    20,153.85/27,812.10 = 11,201.14/x
  3. Step 3: Cross multiply
    20,153.85x = 27,812.10 × 11,201.14
  4. Step 4: Simplify right side
    20,153.85x = 311,527,225.79
  5. Step 5: Solve for x
    x = 311,527,225.79/20,153.85
  6. Step 6: Final answer
    x = 15,457.45

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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.