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Finding the Fourth Proportional to 13,196.65, 18,204.47 and 8,159.26

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Solution

The fourth proportional to 13,196.65, 18,204.47 and 8,159.26 is: 11,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.65 : 18,204.47 = 8,159.26 : x
  2. Step 2: Convert to fraction form
    13,196.65/18,204.47 = 8,159.26/x
  3. Step 3: Cross multiply
    13,196.65x = 18,204.47 × 8,159.26
  4. Step 4: Simplify right side
    13,196.65x = 148,534,958.38
  5. Step 5: Solve for x
    x = 148,534,958.38/13,196.65
  6. Step 6: Final answer
    x = 11,255.51

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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.