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Finding the Fourth Proportional to 22,309.75, 33,464.63 and 8,458.75

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Solution

The fourth proportional to 22,309.75, 33,464.63 and 8,458.75 is: 12,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.75 : 33,464.63 = 8,458.75 : x
  2. Step 2: Convert to fraction form
    22,309.75/33,464.63 = 8,458.75/x
  3. Step 3: Cross multiply
    22,309.75x = 33,464.63 × 8,458.75
  4. Step 4: Simplify right side
    22,309.75x = 283,068,939.01
  5. Step 5: Solve for x
    x = 283,068,939.01/22,309.75
  6. Step 6: Final answer
    x = 12,688.13

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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.