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Finding the Fourth Proportional to 23,839.22, 35,770.45 and 9,803.47

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Solution

The fourth proportional to 23,839.22, 35,770.45 and 9,803.47 is: 14,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.22 : 35,770.45 = 9,803.47 : x
  2. Step 2: Convert to fraction form
    23,839.22/35,770.45 = 9,803.47/x
  3. Step 3: Cross multiply
    23,839.22x = 35,770.45 × 9,803.47
  4. Step 4: Simplify right side
    23,839.22x = 350,674,305.59
  5. Step 5: Solve for x
    x = 350,674,305.59/23,839.22
  6. Step 6: Final answer
    x = 14,709.97

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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.