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Finding the Fourth Proportional to 13,697.24, 18,902.20 and 7,730.20

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Solution

The fourth proportional to 13,697.24, 18,902.20 and 7,730.20 is: 10,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.24 : 18,902.20 = 7,730.20 : x
  2. Step 2: Convert to fraction form
    13,697.24/18,902.20 = 7,730.20/x
  3. Step 3: Cross multiply
    13,697.24x = 18,902.20 × 7,730.20
  4. Step 4: Simplify right side
    13,697.24x = 146,117,786.44
  5. Step 5: Solve for x
    x = 146,117,786.44/13,697.24
  6. Step 6: Final answer
    x = 10,667.68

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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.