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Finding the Fourth Proportional to 13,026.85, 17,977.79 and 7,361.44

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Solution

The fourth proportional to 13,026.85, 17,977.79 and 7,361.44 is: 10,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.85 : 17,977.79 = 7,361.44 : x
  2. Step 2: Convert to fraction form
    13,026.85/17,977.79 = 7,361.44/x
  3. Step 3: Cross multiply
    13,026.85x = 17,977.79 × 7,361.44
  4. Step 4: Simplify right side
    13,026.85x = 132,342,395.88
  5. Step 5: Solve for x
    x = 132,342,395.88/13,026.85
  6. Step 6: Final answer
    x = 10,159.20

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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.