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Finding the Fourth Proportional to 19,890, 27,450 and 11,394.86

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Solution

The fourth proportional to 19,890, 27,450 and 11,394.86 is: 15,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 27,450 = 11,394.86 : x
  2. Step 2: Convert to fraction form
    19,890/27,450 = 11,394.86/x
  3. Step 3: Cross multiply
    19,890x = 27,450 × 11,394.86
  4. Step 4: Simplify right side
    19,890x = 312,788,769.75
  5. Step 5: Solve for x
    x = 312,788,769.75/19,890
  6. Step 6: Final answer
    x = 15,725.93

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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.