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Finding the Fourth Proportional to 13,739.63, 18,954.32 and 8,072.55

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Solution

The fourth proportional to 13,739.63, 18,954.32 and 8,072.55 is: 11,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.63 : 18,954.32 = 8,072.55 : x
  2. Step 2: Convert to fraction form
    13,739.63/18,954.32 = 8,072.55/x
  3. Step 3: Cross multiply
    13,739.63x = 18,954.32 × 8,072.55
  4. Step 4: Simplify right side
    13,739.63x = 153,009,655.55
  5. Step 5: Solve for x
    x = 153,009,655.55/13,739.63
  6. Step 6: Final answer
    x = 11,136.38

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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.