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Finding the Fourth Proportional to 21,024.12, 31,532.22 and 7,873.68

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Solution

The fourth proportional to 21,024.12, 31,532.22 and 7,873.68 is: 11,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.12 : 31,532.22 = 7,873.68 : x
  2. Step 2: Convert to fraction form
    21,024.12/31,532.22 = 7,873.68/x
  3. Step 3: Cross multiply
    21,024.12x = 31,532.22 × 7,873.68
  4. Step 4: Simplify right side
    21,024.12x = 248,274,609.97
  5. Step 5: Solve for x
    x = 248,274,609.97/21,024.12
  6. Step 6: Final answer
    x = 11,809.04

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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.