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Finding the Fourth Proportional to 13,423.69, 18,526.38 and 8,118.54

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Solution

The fourth proportional to 13,423.69, 18,526.38 and 8,118.54 is: 11,204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.69 : 18,526.38 = 8,118.54 : x
  2. Step 2: Convert to fraction form
    13,423.69/18,526.38 = 8,118.54/x
  3. Step 3: Cross multiply
    13,423.69x = 18,526.38 × 8,118.54
  4. Step 4: Simplify right side
    13,423.69x = 150,407,157.09
  5. Step 5: Solve for x
    x = 150,407,157.09/13,423.69
  6. Step 6: Final answer
    x = 11,204.61

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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.