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Finding the Fourth Proportional to 13,447.84, 20,128.62 and 7,192.21

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Solution

The fourth proportional to 13,447.84, 20,128.62 and 7,192.21 is: 10,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.84 : 20,128.62 = 7,192.21 : x
  2. Step 2: Convert to fraction form
    13,447.84/20,128.62 = 7,192.21/x
  3. Step 3: Cross multiply
    13,447.84x = 20,128.62 × 7,192.21
  4. Step 4: Simplify right side
    13,447.84x = 144,769,262.05
  5. Step 5: Solve for x
    x = 144,769,262.05/13,447.84
  6. Step 6: Final answer
    x = 10,765.24

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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.