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Finding the Fourth Proportional to 22,308.50, 33,467.62 and 8,457.50

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Solution

The fourth proportional to 22,308.50, 33,467.62 and 8,457.50 is: 12,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.50 : 33,467.62 = 8,457.50 : x
  2. Step 2: Convert to fraction form
    22,308.50/33,467.62 = 8,457.50/x
  3. Step 3: Cross multiply
    22,308.50x = 33,467.62 × 8,457.50
  4. Step 4: Simplify right side
    22,308.50x = 283,052,396.15
  5. Step 5: Solve for x
    x = 283,052,396.15/22,308.50
  6. Step 6: Final answer
    x = 12,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.