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Finding the Fourth Proportional to 13,240.42, 18,272.76 and 8,205.63

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Solution

The fourth proportional to 13,240.42, 18,272.76 and 8,205.63 is: 11,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.42 : 18,272.76 = 8,205.63 : x
  2. Step 2: Convert to fraction form
    13,240.42/18,272.76 = 8,205.63/x
  3. Step 3: Cross multiply
    13,240.42x = 18,272.76 × 8,205.63
  4. Step 4: Simplify right side
    13,240.42x = 149,939,507.64
  5. Step 5: Solve for x
    x = 149,939,507.64/13,240.42
  6. Step 6: Final answer
    x = 11,324.38

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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.