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Finding the Fourth Proportional to 23,353.26, 32,230.20 and 13,283.22

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Solution

The fourth proportional to 23,353.26, 32,230.20 and 13,283.22 is: 18,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.26 : 32,230.20 = 13,283.22 : x
  2. Step 2: Convert to fraction form
    23,353.26/32,230.20 = 13,283.22/x
  3. Step 3: Cross multiply
    23,353.26x = 32,230.20 × 13,283.22
  4. Step 4: Simplify right side
    23,353.26x = 428,120,837.24
  5. Step 5: Solve for x
    x = 428,120,837.24/23,353.26
  6. Step 6: Final answer
    x = 18,332.38

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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.