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Finding the Fourth Proportional to 19,802.27, 27,335.69 and 11,842.96

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Solution

The fourth proportional to 19,802.27, 27,335.69 and 11,842.96 is: 16,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.27 : 27,335.69 = 11,842.96 : x
  2. Step 2: Convert to fraction form
    19,802.27/27,335.69 = 11,842.96/x
  3. Step 3: Cross multiply
    19,802.27x = 27,335.69 × 11,842.96
  4. Step 4: Simplify right side
    19,802.27x = 323,735,287.35
  5. Step 5: Solve for x
    x = 323,735,287.35/19,802.27
  6. Step 6: Final answer
    x = 16,348.40

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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.