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Finding the Fourth Proportional to 23,976.96, 33,090 and 13,905.32

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Solution

The fourth proportional to 23,976.96, 33,090 and 13,905.32 is: 19,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.96 : 33,090 = 13,905.32 : x
  2. Step 2: Convert to fraction form
    23,976.96/33,090 = 13,905.32/x
  3. Step 3: Cross multiply
    23,976.96x = 33,090 × 13,905.32
  4. Step 4: Simplify right side
    23,976.96x = 460,126,873.35
  5. Step 5: Solve for x
    x = 460,126,873.35/23,976.96
  6. Step 6: Final answer
    x = 19,190.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.