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Finding the Fourth Proportional to 20,096.47, 27,733.02 and 11,145.30

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Solution

The fourth proportional to 20,096.47, 27,733.02 and 11,145.30 is: 15,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.47 : 27,733.02 = 11,145.30 : x
  2. Step 2: Convert to fraction form
    20,096.47/27,733.02 = 11,145.30/x
  3. Step 3: Cross multiply
    20,096.47x = 27,733.02 × 11,145.30
  4. Step 4: Simplify right side
    20,096.47x = 309,092,827.81
  5. Step 5: Solve for x
    x = 309,092,827.81/20,096.47
  6. Step 6: Final answer
    x = 15,380.45

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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.