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Finding the Fourth Proportional to 21,112.50, 31,657.68 and 8,625.54

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Solution

The fourth proportional to 21,112.50, 31,657.68 and 8,625.54 is: 12,933.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,112.50 : 31,657.68 = 8,625.54 : x
  2. Step 2: Convert to fraction form
    21,112.50/31,657.68 = 8,625.54/x
  3. Step 3: Cross multiply
    21,112.50x = 31,657.68 × 8,625.54
  4. Step 4: Simplify right side
    21,112.50x = 273,064,585.15
  5. Step 5: Solve for x
    x = 273,064,585.15/21,112.50
  6. Step 6: Final answer
    x = 12,933.79

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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.