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Finding the Fourth Proportional to 13,446.84, 20,127.12 and 7,191.21

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Solution

The fourth proportional to 13,446.84, 20,127.12 and 7,191.21 is: 10,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.84 : 20,127.12 = 7,191.21 : x
  2. Step 2: Convert to fraction form
    13,446.84/20,127.12 = 7,191.21/x
  3. Step 3: Cross multiply
    13,446.84x = 20,127.12 × 7,191.21
  4. Step 4: Simplify right side
    13,446.84x = 144,738,346.62
  5. Step 5: Solve for x
    x = 144,738,346.62/13,446.84
  6. Step 6: Final answer
    x = 10,763.74

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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.