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Finding the Fourth Proportional to 20,153.81, 27,812.06 and 11,202.10

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Solution

The fourth proportional to 20,153.81, 27,812.06 and 11,202.10 is: 15,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.81 : 27,812.06 = 11,202.10 : x
  2. Step 2: Convert to fraction form
    20,153.81/27,812.06 = 11,202.10/x
  3. Step 3: Cross multiply
    20,153.81x = 27,812.06 × 11,202.10
  4. Step 4: Simplify right side
    20,153.81x = 311,553,393.79
  5. Step 5: Solve for x
    x = 311,553,393.79/20,153.81
  6. Step 6: Final answer
    x = 15,458.78

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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.