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Finding the Fourth Proportional to 21,224.94, 31,839.33 and 8,742.06

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Solution

The fourth proportional to 21,224.94, 31,839.33 and 8,742.06 is: 13,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.94 : 31,839.33 = 8,742.06 : x
  2. Step 2: Convert to fraction form
    21,224.94/31,839.33 = 8,742.06/x
  3. Step 3: Cross multiply
    21,224.94x = 31,839.33 × 8,742.06
  4. Step 4: Simplify right side
    21,224.94x = 278,341,333.22
  5. Step 5: Solve for x
    x = 278,341,333.22/21,224.94
  6. Step 6: Final answer
    x = 13,113.88

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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.