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Finding the Fourth Proportional to 23,846.93, 35,763.53 and 9,615.41

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Solution

The fourth proportional to 23,846.93, 35,763.53 and 9,615.41 is: 14,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.93 : 35,763.53 = 9,615.41 : x
  2. Step 2: Convert to fraction form
    23,846.93/35,763.53 = 9,615.41/x
  3. Step 3: Cross multiply
    23,846.93x = 35,763.53 × 9,615.41
  4. Step 4: Simplify right side
    23,846.93x = 343,880,911.22
  5. Step 5: Solve for x
    x = 343,880,911.22/23,846.93
  6. Step 6: Final answer
    x = 14,420.34

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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.