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Finding the Fourth Proportional to 23,376.96, 35,064 and 9,331.20

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Solution

The fourth proportional to 23,376.96, 35,064 and 9,331.20 is: 13,996.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,376.96 : 35,064 = 9,331.20 : x
  2. Step 2: Convert to fraction form
    23,376.96/35,064 = 9,331.20/x
  3. Step 3: Cross multiply
    23,376.96x = 35,064 × 9,331.20
  4. Step 4: Simplify right side
    23,376.96x = 327,189,196.80
  5. Step 5: Solve for x
    x = 327,189,196.80/23,376.96
  6. Step 6: Final answer
    x = 13,996.23

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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.