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Finding the Fourth Proportional to 19,802.21, 27,327.17 and 10,850.09

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Solution

The fourth proportional to 19,802.21, 27,327.17 and 10,850.09 is: 14,973.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.21 : 27,327.17 = 10,850.09 : x
  2. Step 2: Convert to fraction form
    19,802.21/27,327.17 = 10,850.09/x
  3. Step 3: Cross multiply
    19,802.21x = 27,327.17 × 10,850.09
  4. Step 4: Simplify right side
    19,802.21x = 296,502,144.43
  5. Step 5: Solve for x
    x = 296,502,144.43/19,802.21
  6. Step 6: Final answer
    x = 14,973.19

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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.