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Finding the Fourth Proportional to 23,821.29, 35,733.69 and 6,291

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Solution

The fourth proportional to 23,821.29, 35,733.69 and 6,291 is: 9,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.29 : 35,733.69 = 6,291 : x
  2. Step 2: Convert to fraction form
    23,821.29/35,733.69 = 6,291/x
  3. Step 3: Cross multiply
    23,821.29x = 35,733.69 × 6,291
  4. Step 4: Simplify right side
    23,821.29x = 224,800,643.79
  5. Step 5: Solve for x
    x = 224,800,643.79/23,821.29
  6. Step 6: Final answer
    x = 9,436.96

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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.