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Finding the Fourth Proportional to 23,820.75, 35,731.13 and 9,969.75

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Solution

The fourth proportional to 23,820.75, 35,731.13 and 9,969.75 is: 14,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.75 : 35,731.13 = 9,969.75 : x
  2. Step 2: Convert to fraction form
    23,820.75/35,731.13 = 9,969.75/x
  3. Step 3: Cross multiply
    23,820.75x = 35,731.13 × 9,969.75
  4. Step 4: Simplify right side
    23,820.75x = 356,230,383.47
  5. Step 5: Solve for x
    x = 356,230,383.47/23,820.75
  6. Step 6: Final answer
    x = 14,954.63

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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.