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Finding the Fourth Proportional to 13,993.70, 19,311.30 and 7,706

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Solution

The fourth proportional to 13,993.70, 19,311.30 and 7,706 is: 10,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.70 : 19,311.30 = 7,706 : x
  2. Step 2: Convert to fraction form
    13,993.70/19,311.30 = 7,706/x
  3. Step 3: Cross multiply
    13,993.70x = 19,311.30 × 7,706
  4. Step 4: Simplify right side
    13,993.70x = 148,812,877.80
  5. Step 5: Solve for x
    x = 148,812,877.80/13,993.70
  6. Step 6: Final answer
    x = 10,634.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.