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Finding the Fourth Proportional to 13,993.79, 19,311.37 and 7,706.16

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Solution

The fourth proportional to 13,993.79, 19,311.37 and 7,706.16 is: 10,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.79 : 19,311.37 = 7,706.16 : x
  2. Step 2: Convert to fraction form
    13,993.79/19,311.37 = 7,706.16/x
  3. Step 3: Cross multiply
    13,993.79x = 19,311.37 × 7,706.16
  4. Step 4: Simplify right side
    13,993.79x = 148,816,487.77
  5. Step 5: Solve for x
    x = 148,816,487.77/13,993.79
  6. Step 6: Final answer
    x = 10,634.47

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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.