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Finding the Fourth Proportional to 22,072.92, 33,090.70 and 9,583.50

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Solution

The fourth proportional to 22,072.92, 33,090.70 and 9,583.50 is: 14,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.92 : 33,090.70 = 9,583.50 : x
  2. Step 2: Convert to fraction form
    22,072.92/33,090.70 = 9,583.50/x
  3. Step 3: Cross multiply
    22,072.92x = 33,090.70 × 9,583.50
  4. Step 4: Simplify right side
    22,072.92x = 317,124,723.45
  5. Step 5: Solve for x
    x = 317,124,723.45/22,072.92
  6. Step 6: Final answer
    x = 14,367.14

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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.