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Finding the Fourth Proportional to 13,225.70, 19,792.20 and 9,481.60

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Solution

The fourth proportional to 13,225.70, 19,792.20 and 9,481.60 is: 14,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.70 : 19,792.20 = 9,481.60 : x
  2. Step 2: Convert to fraction form
    13,225.70/19,792.20 = 9,481.60/x
  3. Step 3: Cross multiply
    13,225.70x = 19,792.20 × 9,481.60
  4. Step 4: Simplify right side
    13,225.70x = 187,661,723.52
  5. Step 5: Solve for x
    x = 187,661,723.52/13,225.70
  6. Step 6: Final answer
    x = 14,189.17

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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.