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Finding the Fourth Proportional to 23,629, 35,449.26 and 7,213

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Solution

The fourth proportional to 23,629, 35,449.26 and 7,213 is: 10,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629 : 35,449.26 = 7,213 : x
  2. Step 2: Convert to fraction form
    23,629/35,449.26 = 7,213/x
  3. Step 3: Cross multiply
    23,629x = 35,449.26 × 7,213
  4. Step 4: Simplify right side
    23,629x = 255,695,512.38
  5. Step 5: Solve for x
    x = 255,695,512.38/23,629
  6. Step 6: Final answer
    x = 10,821.26

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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.