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Finding the Fourth Proportional to 19,709.19, 27,198.42 and 10,756.83

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Solution

The fourth proportional to 19,709.19, 27,198.42 and 10,756.83 is: 14,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.19 : 27,198.42 = 10,756.83 : x
  2. Step 2: Convert to fraction form
    19,709.19/27,198.42 = 10,756.83/x
  3. Step 3: Cross multiply
    19,709.19x = 27,198.42 × 10,756.83
  4. Step 4: Simplify right side
    19,709.19x = 292,568,841.86
  5. Step 5: Solve for x
    x = 292,568,841.86/19,709.19
  6. Step 6: Final answer
    x = 14,844.29

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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.