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Finding the Fourth Proportional to 20,096.84, 27,735.06 and 11,145.20

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Solution

The fourth proportional to 20,096.84, 27,735.06 and 11,145.20 is: 15,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.84 : 27,735.06 = 11,145.20 : x
  2. Step 2: Convert to fraction form
    20,096.84/27,735.06 = 11,145.20/x
  3. Step 3: Cross multiply
    20,096.84x = 27,735.06 × 11,145.20
  4. Step 4: Simplify right side
    20,096.84x = 309,112,790.71
  5. Step 5: Solve for x
    x = 309,112,790.71/20,096.84
  6. Step 6: Final answer
    x = 15,381.16

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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.