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Finding the Fourth Proportional to 19,973.38, 27,564.93 and 11,022.83

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Solution

The fourth proportional to 19,973.38, 27,564.93 and 11,022.83 is: 15,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,973.38 : 27,564.93 = 11,022.83 : x
  2. Step 2: Convert to fraction form
    19,973.38/27,564.93 = 11,022.83/x
  3. Step 3: Cross multiply
    19,973.38x = 27,564.93 × 11,022.83
  4. Step 4: Simplify right side
    19,973.38x = 303,843,399.53
  5. Step 5: Solve for x
    x = 303,843,399.53/19,973.38
  6. Step 6: Final answer
    x = 15,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.