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Finding the Fourth Proportional to 22,320.56, 33,467.88 and 8,462

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Solution

The fourth proportional to 22,320.56, 33,467.88 and 8,462 is: 12,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320.56 : 33,467.88 = 8,462 : x
  2. Step 2: Convert to fraction form
    22,320.56/33,467.88 = 8,462/x
  3. Step 3: Cross multiply
    22,320.56x = 33,467.88 × 8,462
  4. Step 4: Simplify right side
    22,320.56x = 283,205,200.56
  5. Step 5: Solve for x
    x = 283,205,200.56/22,320.56
  6. Step 6: Final answer
    x = 12,688.09

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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.