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Finding the Fourth Proportional to 21,829.74, 32,747.85 and 7,975.50

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Solution

The fourth proportional to 21,829.74, 32,747.85 and 7,975.50 is: 11,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.74 : 32,747.85 = 7,975.50 : x
  2. Step 2: Convert to fraction form
    21,829.74/32,747.85 = 7,975.50/x
  3. Step 3: Cross multiply
    21,829.74x = 32,747.85 × 7,975.50
  4. Step 4: Simplify right side
    21,829.74x = 261,180,477.68
  5. Step 5: Solve for x
    x = 261,180,477.68/21,829.74
  6. Step 6: Final answer
    x = 11,964.43

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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.