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Finding the Fourth Proportional to 13,542.99, 20,297.16 and 11,780.63

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Solution

The fourth proportional to 13,542.99, 20,297.16 and 11,780.63 is: 17,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.99 : 20,297.16 = 11,780.63 : x
  2. Step 2: Convert to fraction form
    13,542.99/20,297.16 = 11,780.63/x
  3. Step 3: Cross multiply
    13,542.99x = 20,297.16 × 11,780.63
  4. Step 4: Simplify right side
    13,542.99x = 239,113,230.53
  5. Step 5: Solve for x
    x = 239,113,230.53/13,542.99
  6. Step 6: Final answer
    x = 17,655.87

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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.