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Finding the Fourth Proportional to 21,634.56, 32,451.84 and 7,783.20

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Solution

The fourth proportional to 21,634.56, 32,451.84 and 7,783.20 is: 11,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.56 : 32,451.84 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    21,634.56/32,451.84 = 7,783.20/x
  3. Step 3: Cross multiply
    21,634.56x = 32,451.84 × 7,783.20
  4. Step 4: Simplify right side
    21,634.56x = 252,579,161.09
  5. Step 5: Solve for x
    x = 252,579,161.09/21,634.56
  6. Step 6: Final answer
    x = 11,674.80

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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.