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Finding the Fourth Proportional to 19,667.50, 27,141.39 and 11,284.78

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Solution

The fourth proportional to 19,667.50, 27,141.39 and 11,284.78 is: 15,573.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.50 : 27,141.39 = 11,284.78 : x
  2. Step 2: Convert to fraction form
    19,667.50/27,141.39 = 11,284.78/x
  3. Step 3: Cross multiply
    19,667.50x = 27,141.39 × 11,284.78
  4. Step 4: Simplify right side
    19,667.50x = 306,284,615.04
  5. Step 5: Solve for x
    x = 306,284,615.04/19,667.50
  6. Step 6: Final answer
    x = 15,573.13

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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.