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Finding the Fourth Proportional to 21,046.77, 31,546.30 and 7,003.50

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Solution

The fourth proportional to 21,046.77, 31,546.30 and 7,003.50 is: 10,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.77 : 31,546.30 = 7,003.50 : x
  2. Step 2: Convert to fraction form
    21,046.77/31,546.30 = 7,003.50/x
  3. Step 3: Cross multiply
    21,046.77x = 31,546.30 × 7,003.50
  4. Step 4: Simplify right side
    21,046.77x = 220,934,512.05
  5. Step 5: Solve for x
    x = 220,934,512.05/21,046.77
  6. Step 6: Final answer
    x = 10,497.31

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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.