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Finding the Fourth Proportional to 19,840.50, 27,361.95 and 13,132.80

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Solution

The fourth proportional to 19,840.50, 27,361.95 and 13,132.80 is: 18,111.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.50 : 27,361.95 = 13,132.80 : x
  2. Step 2: Convert to fraction form
    19,840.50/27,361.95 = 13,132.80/x
  3. Step 3: Cross multiply
    19,840.50x = 27,361.95 × 13,132.80
  4. Step 4: Simplify right side
    19,840.50x = 359,339,016.96
  5. Step 5: Solve for x
    x = 359,339,016.96/19,840.50
  6. Step 6: Final answer
    x = 18,111.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.