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Finding the Fourth Proportional to 13,735.46, 18,956.16 and 7,768.22

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Solution

The fourth proportional to 13,735.46, 18,956.16 and 7,768.22 is: 10,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.46 : 18,956.16 = 7,768.22 : x
  2. Step 2: Convert to fraction form
    13,735.46/18,956.16 = 7,768.22/x
  3. Step 3: Cross multiply
    13,735.46x = 18,956.16 × 7,768.22
  4. Step 4: Simplify right side
    13,735.46x = 147,255,621.24
  5. Step 5: Solve for x
    x = 147,255,621.24/13,735.46
  6. Step 6: Final answer
    x = 10,720.84

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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.