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Finding the Fourth Proportional to 13,137.49, 19,685.64 and 7,593.44

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Solution

The fourth proportional to 13,137.49, 19,685.64 and 7,593.44 is: 11,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.49 : 19,685.64 = 7,593.44 : x
  2. Step 2: Convert to fraction form
    13,137.49/19,685.64 = 7,593.44/x
  3. Step 3: Cross multiply
    13,137.49x = 19,685.64 × 7,593.44
  4. Step 4: Simplify right side
    13,137.49x = 149,481,726.20
  5. Step 5: Solve for x
    x = 149,481,726.20/13,137.49
  6. Step 6: Final answer
    x = 11,378.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.