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Finding the Fourth Proportional to 19,703.14, 27,189.89 and 11,201.17

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Solution

The fourth proportional to 19,703.14, 27,189.89 and 11,201.17 is: 15,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.14 : 27,189.89 = 11,201.17 : x
  2. Step 2: Convert to fraction form
    19,703.14/27,189.89 = 11,201.17/x
  3. Step 3: Cross multiply
    19,703.14x = 27,189.89 × 11,201.17
  4. Step 4: Simplify right side
    19,703.14x = 304,558,580.17
  5. Step 5: Solve for x
    x = 304,558,580.17/19,703.14
  6. Step 6: Final answer
    x = 15,457.36

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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.