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Finding the Fourth Proportional to 13,136.95, 18,129.38 and 7,169.00

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Solution

The fourth proportional to 13,136.95, 18,129.38 and 7,169.00 is: 9,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.95 : 18,129.38 = 7,169.00 : x
  2. Step 2: Convert to fraction form
    13,136.95/18,129.38 = 7,169.00/x
  3. Step 3: Cross multiply
    13,136.95x = 18,129.38 × 7,169.00
  4. Step 4: Simplify right side
    13,136.95x = 129,969,550.36
  5. Step 5: Solve for x
    x = 129,969,550.36/13,136.95
  6. Step 6: Final answer
    x = 9,893.43

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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.