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Finding the Fourth Proportional to 20,099.78, 27,737.76 and 11,148.11

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Solution

The fourth proportional to 20,099.78, 27,737.76 and 11,148.11 is: 15,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.78 : 27,737.76 = 11,148.11 : x
  2. Step 2: Convert to fraction form
    20,099.78/27,737.76 = 11,148.11/x
  3. Step 3: Cross multiply
    20,099.78x = 27,737.76 × 11,148.11
  4. Step 4: Simplify right side
    20,099.78x = 309,223,599.63
  5. Step 5: Solve for x
    x = 309,223,599.63/20,099.78
  6. Step 6: Final answer
    x = 15,384.43

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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.