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Finding the Fourth Proportional to 18,093.86, 24,969.38 and 10,136.16

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Solution

The fourth proportional to 18,093.86, 24,969.38 and 10,136.16 is: 13,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,093.86 : 24,969.38 = 10,136.16 : x
  2. Step 2: Convert to fraction form
    18,093.86/24,969.38 = 10,136.16/x
  3. Step 3: Cross multiply
    18,093.86x = 24,969.38 × 10,136.16
  4. Step 4: Simplify right side
    18,093.86x = 253,093,630.78
  5. Step 5: Solve for x
    x = 253,093,630.78/18,093.86
  6. Step 6: Final answer
    x = 13,987.82

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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.