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Finding the Fourth Proportional to 22,316.75, 33,475.32 and 5,676.80

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Solution

The fourth proportional to 22,316.75, 33,475.32 and 5,676.80 is: 8,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.75 : 33,475.32 = 5,676.80 : x
  2. Step 2: Convert to fraction form
    22,316.75/33,475.32 = 5,676.80/x
  3. Step 3: Cross multiply
    22,316.75x = 33,475.32 × 5,676.80
  4. Step 4: Simplify right side
    22,316.75x = 190,032,811.06
  5. Step 5: Solve for x
    x = 190,032,811.06/22,316.75
  6. Step 6: Final answer
    x = 8,515.25

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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.