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Finding the Fourth Proportional to 20,057.02, 27,678.27 and 11,104

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Solution

The fourth proportional to 20,057.02, 27,678.27 and 11,104 is: 15,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.02 : 27,678.27 = 11,104 : x
  2. Step 2: Convert to fraction form
    20,057.02/27,678.27 = 11,104/x
  3. Step 3: Cross multiply
    20,057.02x = 27,678.27 × 11,104
  4. Step 4: Simplify right side
    20,057.02x = 307,339,510.08
  5. Step 5: Solve for x
    x = 307,339,510.08/20,057.02
  6. Step 6: Final answer
    x = 15,323.29

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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.