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Finding the Fourth Proportional to 20,106.81, 27,737.78 and 12,034.96

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Solution

The fourth proportional to 20,106.81, 27,737.78 and 12,034.96 is: 16,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.81 : 27,737.78 = 12,034.96 : x
  2. Step 2: Convert to fraction form
    20,106.81/27,737.78 = 12,034.96/x
  3. Step 3: Cross multiply
    20,106.81x = 27,737.78 × 12,034.96
  4. Step 4: Simplify right side
    20,106.81x = 333,822,943.27
  5. Step 5: Solve for x
    x = 333,822,943.27/20,106.81
  6. Step 6: Final answer
    x = 16,602.48

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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.