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Finding the Fourth Proportional to 22,451.75, 33,673.10 and 7,652.64

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Solution

The fourth proportional to 22,451.75, 33,673.10 and 7,652.64 is: 11,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.75 : 33,673.10 = 7,652.64 : x
  2. Step 2: Convert to fraction form
    22,451.75/33,673.10 = 7,652.64/x
  3. Step 3: Cross multiply
    22,451.75x = 33,673.10 × 7,652.64
  4. Step 4: Simplify right side
    22,451.75x = 257,688,073.72
  5. Step 5: Solve for x
    x = 257,688,073.72/22,451.75
  6. Step 6: Final answer
    x = 11,477.42

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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.