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Finding the Fourth Proportional to 13,740.69, 18,954.06 and 8,431.75

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Solution

The fourth proportional to 13,740.69, 18,954.06 and 8,431.75 is: 11,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.69 : 18,954.06 = 8,431.75 : x
  2. Step 2: Convert to fraction form
    13,740.69/18,954.06 = 8,431.75/x
  3. Step 3: Cross multiply
    13,740.69x = 18,954.06 × 8,431.75
  4. Step 4: Simplify right side
    13,740.69x = 159,815,895.41
  5. Step 5: Solve for x
    x = 159,815,895.41/13,740.69
  6. Step 6: Final answer
    x = 11,630.85

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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.