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Finding the Fourth Proportional to 13,057.80, 18,021.06 and 8,584.20

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Solution

The fourth proportional to 13,057.80, 18,021.06 and 8,584.20 is: 11,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.80 : 18,021.06 = 8,584.20 : x
  2. Step 2: Convert to fraction form
    13,057.80/18,021.06 = 8,584.20/x
  3. Step 3: Cross multiply
    13,057.80x = 18,021.06 × 8,584.20
  4. Step 4: Simplify right side
    13,057.80x = 154,696,383.25
  5. Step 5: Solve for x
    x = 154,696,383.25/13,057.80
  6. Step 6: Final answer
    x = 11,847.05

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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.