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Finding the Fourth Proportional to 13,697.34, 18,902.18 and 7,730.94

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Solution

The fourth proportional to 13,697.34, 18,902.18 and 7,730.94 is: 10,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.34 : 18,902.18 = 7,730.94 : x
  2. Step 2: Convert to fraction form
    13,697.34/18,902.18 = 7,730.94/x
  3. Step 3: Cross multiply
    13,697.34x = 18,902.18 × 7,730.94
  4. Step 4: Simplify right side
    13,697.34x = 146,131,619.45
  5. Step 5: Solve for x
    x = 146,131,619.45/13,697.34
  6. Step 6: Final answer
    x = 10,668.61

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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.