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Finding the Fourth Proportional to 21,224.92, 31,837.10 and 12,907.22

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Solution

The fourth proportional to 21,224.92, 31,837.10 and 12,907.22 is: 19,360.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.92 : 31,837.10 = 12,907.22 : x
  2. Step 2: Convert to fraction form
    21,224.92/31,837.10 = 12,907.22/x
  3. Step 3: Cross multiply
    21,224.92x = 31,837.10 × 12,907.22
  4. Step 4: Simplify right side
    21,224.92x = 410,928,453.86
  5. Step 5: Solve for x
    x = 410,928,453.86/21,224.92
  6. Step 6: Final answer
    x = 19,360.66

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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.