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Finding the Fourth Proportional to 13,680.99, 20,513.25 and 9,285.12

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Solution

The fourth proportional to 13,680.99, 20,513.25 and 9,285.12 is: 13,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.99 : 20,513.25 = 9,285.12 : x
  2. Step 2: Convert to fraction form
    13,680.99/20,513.25 = 9,285.12/x
  3. Step 3: Cross multiply
    13,680.99x = 20,513.25 × 9,285.12
  4. Step 4: Simplify right side
    13,680.99x = 190,467,987.84
  5. Step 5: Solve for x
    x = 190,467,987.84/13,680.99
  6. Step 6: Final answer
    x = 13,922.09

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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.