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Finding the Fourth Proportional to 21,029.83, 31,543.98 and 8,546.46

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Solution

The fourth proportional to 21,029.83, 31,543.98 and 8,546.46 is: 12,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.83 : 31,543.98 = 8,546.46 : x
  2. Step 2: Convert to fraction form
    21,029.83/31,543.98 = 8,546.46/x
  3. Step 3: Cross multiply
    21,029.83x = 31,543.98 × 8,546.46
  4. Step 4: Simplify right side
    21,029.83x = 269,589,438.48
  5. Step 5: Solve for x
    x = 269,589,438.48/21,029.83
  6. Step 6: Final answer
    x = 12,819.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.