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Finding the Fourth Proportional to 19,712.25, 27,170.48 and 13,971.62

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Solution

The fourth proportional to 19,712.25, 27,170.48 and 13,971.62 is: 19,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.25 : 27,170.48 = 13,971.62 : x
  2. Step 2: Convert to fraction form
    19,712.25/27,170.48 = 13,971.62/x
  3. Step 3: Cross multiply
    19,712.25x = 27,170.48 × 13,971.62
  4. Step 4: Simplify right side
    19,712.25x = 379,615,724.63
  5. Step 5: Solve for x
    x = 379,615,724.63/19,712.25
  6. Step 6: Final answer
    x = 19,257.86

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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.