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Finding the Fourth Proportional to 13,480.97, 20,214.72 and 7,860.60

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Solution

The fourth proportional to 13,480.97, 20,214.72 and 7,860.60 is: 11,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.97 : 20,214.72 = 7,860.60 : x
  2. Step 2: Convert to fraction form
    13,480.97/20,214.72 = 7,860.60/x
  3. Step 3: Cross multiply
    13,480.97x = 20,214.72 × 7,860.60
  4. Step 4: Simplify right side
    13,480.97x = 158,899,828.03
  5. Step 5: Solve for x
    x = 158,899,828.03/13,480.97
  6. Step 6: Final answer
    x = 11,786.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.