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Finding the Fourth Proportional to 12,782.53, 19,249.15 and 11,158.21

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Solution

The fourth proportional to 12,782.53, 19,249.15 and 11,158.21 is: 16,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.53 : 19,249.15 = 11,158.21 : x
  2. Step 2: Convert to fraction form
    12,782.53/19,249.15 = 11,158.21/x
  3. Step 3: Cross multiply
    12,782.53x = 19,249.15 × 11,158.21
  4. Step 4: Simplify right side
    12,782.53x = 214,786,058.02
  5. Step 5: Solve for x
    x = 214,786,058.02/12,782.53
  6. Step 6: Final answer
    x = 16,803.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.