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Finding the Fourth Proportional to 13,765.53, 18,997.70 and 7,797.45

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Solution

The fourth proportional to 13,765.53, 18,997.70 and 7,797.45 is: 10,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.53 : 18,997.70 = 7,797.45 : x
  2. Step 2: Convert to fraction form
    13,765.53/18,997.70 = 7,797.45/x
  3. Step 3: Cross multiply
    13,765.53x = 18,997.70 × 7,797.45
  4. Step 4: Simplify right side
    13,765.53x = 148,133,615.87
  5. Step 5: Solve for x
    x = 148,133,615.87/13,765.53
  6. Step 6: Final answer
    x = 10,761.20

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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.