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Finding the Fourth Proportional to 19,827.16, 27,362.93 and 11,329.09

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Solution

The fourth proportional to 19,827.16, 27,362.93 and 11,329.09 is: 15,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.16 : 27,362.93 = 11,329.09 : x
  2. Step 2: Convert to fraction form
    19,827.16/27,362.93 = 11,329.09/x
  3. Step 3: Cross multiply
    19,827.16x = 27,362.93 × 11,329.09
  4. Step 4: Simplify right side
    19,827.16x = 309,997,046.46
  5. Step 5: Solve for x
    x = 309,997,046.46/19,827.16
  6. Step 6: Final answer
    x = 15,634.97

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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.