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Finding the Fourth Proportional to 13,697.37, 18,901.34 and 7,729.60

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Solution

The fourth proportional to 13,697.37, 18,901.34 and 7,729.60 is: 10,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.37 : 18,901.34 = 7,729.60 : x
  2. Step 2: Convert to fraction form
    13,697.37/18,901.34 = 7,729.60/x
  3. Step 3: Cross multiply
    13,697.37x = 18,901.34 × 7,729.60
  4. Step 4: Simplify right side
    13,697.37x = 146,099,797.66
  5. Step 5: Solve for x
    x = 146,099,797.66/13,697.37
  6. Step 6: Final answer
    x = 10,666.27

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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.