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Finding the Fourth Proportional to 23,830.44, 35,765.82 and 9,798

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Solution

The fourth proportional to 23,830.44, 35,765.82 and 9,798 is: 14,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.44 : 35,765.82 = 9,798 : x
  2. Step 2: Convert to fraction form
    23,830.44/35,765.82 = 9,798/x
  3. Step 3: Cross multiply
    23,830.44x = 35,765.82 × 9,798
  4. Step 4: Simplify right side
    23,830.44x = 350,433,504.36
  5. Step 5: Solve for x
    x = 350,433,504.36/23,830.44
  6. Step 6: Final answer
    x = 14,705.29

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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.