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Finding the Fourth Proportional to 13,029.21, 17,973.90 and 7,991.82

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Solution

The fourth proportional to 13,029.21, 17,973.90 and 7,991.82 is: 11,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.21 : 17,973.90 = 7,991.82 : x
  2. Step 2: Convert to fraction form
    13,029.21/17,973.90 = 7,991.82/x
  3. Step 3: Cross multiply
    13,029.21x = 17,973.90 × 7,991.82
  4. Step 4: Simplify right side
    13,029.21x = 143,644,173.50
  5. Step 5: Solve for x
    x = 143,644,173.50/13,029.21
  6. Step 6: Final answer
    x = 11,024.78

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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.