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Finding the Fourth Proportional to 13,940.17, 20,911.20 and 4,706.17

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Solution

The fourth proportional to 13,940.17, 20,911.20 and 4,706.17 is: 7,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.17 : 20,911.20 = 4,706.17 : x
  2. Step 2: Convert to fraction form
    13,940.17/20,911.20 = 4,706.17/x
  3. Step 3: Cross multiply
    13,940.17x = 20,911.20 × 4,706.17
  4. Step 4: Simplify right side
    13,940.17x = 98,411,662.10
  5. Step 5: Solve for x
    x = 98,411,662.10/13,940.17
  6. Step 6: Final answer
    x = 7,059.57

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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.