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Finding the Fourth Proportional to 17,961, 24,786.16 and 10,003.15

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Solution

The fourth proportional to 17,961, 24,786.16 and 10,003.15 is: 13,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961 : 24,786.16 = 10,003.15 : x
  2. Step 2: Convert to fraction form
    17,961/24,786.16 = 10,003.15/x
  3. Step 3: Cross multiply
    17,961x = 24,786.16 × 10,003.15
  4. Step 4: Simplify right side
    17,961x = 247,939,676.40
  5. Step 5: Solve for x
    x = 247,939,676.40/17,961
  6. Step 6: Final answer
    x = 13,804.34

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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.