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Finding the Fourth Proportional to 23,668.26, 35,507.25 and 8,877.12

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Solution

The fourth proportional to 23,668.26, 35,507.25 and 8,877.12 is: 13,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.26 : 35,507.25 = 8,877.12 : x
  2. Step 2: Convert to fraction form
    23,668.26/35,507.25 = 8,877.12/x
  3. Step 3: Cross multiply
    23,668.26x = 35,507.25 × 8,877.12
  4. Step 4: Simplify right side
    23,668.26x = 315,202,119.12
  5. Step 5: Solve for x
    x = 315,202,119.12/23,668.26
  6. Step 6: Final answer
    x = 13,317.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.