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Finding the Fourth Proportional to 17,761.44, 24,512.02 and 9,804

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Solution

The fourth proportional to 17,761.44, 24,512.02 and 9,804 is: 13,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.44 : 24,512.02 = 9,804 : x
  2. Step 2: Convert to fraction form
    17,761.44/24,512.02 = 9,804/x
  3. Step 3: Cross multiply
    17,761.44x = 24,512.02 × 9,804
  4. Step 4: Simplify right side
    17,761.44x = 240,315,844.08
  5. Step 5: Solve for x
    x = 240,315,844.08/17,761.44
  6. Step 6: Final answer
    x = 13,530.20

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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.