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Finding the Fourth Proportional to 13,137.21, 18,129.32 and 8,421.49

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Solution

The fourth proportional to 13,137.21, 18,129.32 and 8,421.49 is: 11,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.21 : 18,129.32 = 8,421.49 : x
  2. Step 2: Convert to fraction form
    13,137.21/18,129.32 = 8,421.49/x
  3. Step 3: Cross multiply
    13,137.21x = 18,129.32 × 8,421.49
  4. Step 4: Simplify right side
    13,137.21x = 152,675,796.44
  5. Step 5: Solve for x
    x = 152,675,796.44/13,137.21
  6. Step 6: Final answer
    x = 11,621.63

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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.