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Finding the Fourth Proportional to 23,994, 33,111.75 and 13,384.31

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Solution

The fourth proportional to 23,994, 33,111.75 and 13,384.31 is: 18,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,994 : 33,111.75 = 13,384.31 : x
  2. Step 2: Convert to fraction form
    23,994/33,111.75 = 13,384.31/x
  3. Step 3: Cross multiply
    23,994x = 33,111.75 × 13,384.31
  4. Step 4: Simplify right side
    23,994x = 443,177,761.08
  5. Step 5: Solve for x
    x = 443,177,761.08/23,994
  6. Step 6: Final answer
    x = 18,470.36

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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.