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Finding the Fourth Proportional to 20,146.05, 27,802.04 and 11,193.93

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Solution

The fourth proportional to 20,146.05, 27,802.04 and 11,193.93 is: 15,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.05 : 27,802.04 = 11,193.93 : x
  2. Step 2: Convert to fraction form
    20,146.05/27,802.04 = 11,193.93/x
  3. Step 3: Cross multiply
    20,146.05x = 27,802.04 × 11,193.93
  4. Step 4: Simplify right side
    20,146.05x = 311,214,033.65
  5. Step 5: Solve for x
    x = 311,214,033.65/20,146.05
  6. Step 6: Final answer
    x = 15,447.89

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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.