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Finding the Fourth Proportional to 19,842.57, 27,383.25 and 11,228.06

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Solution

The fourth proportional to 19,842.57, 27,383.25 and 11,228.06 is: 15,495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.57 : 27,383.25 = 11,228.06 : x
  2. Step 2: Convert to fraction form
    19,842.57/27,383.25 = 11,228.06/x
  3. Step 3: Cross multiply
    19,842.57x = 27,383.25 × 11,228.06
  4. Step 4: Simplify right side
    19,842.57x = 307,460,637.08
  5. Step 5: Solve for x
    x = 307,460,637.08/19,842.57
  6. Step 6: Final answer
    x = 15,495.00

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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.