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Finding the Fourth Proportional to 19,856.26, 27,372.70 and 14,181

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Solution

The fourth proportional to 19,856.26, 27,372.70 and 14,181 is: 19,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.26 : 27,372.70 = 14,181 : x
  2. Step 2: Convert to fraction form
    19,856.26/27,372.70 = 14,181/x
  3. Step 3: Cross multiply
    19,856.26x = 27,372.70 × 14,181
  4. Step 4: Simplify right side
    19,856.26x = 388,172,258.70
  5. Step 5: Solve for x
    x = 388,172,258.70/19,856.26
  6. Step 6: Final answer
    x = 19,549.11

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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.