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Finding the Fourth Proportional to 18,583.29, 27,874.94 and 8,202.33

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Solution

The fourth proportional to 18,583.29, 27,874.94 and 8,202.33 is: 12,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.29 : 27,874.94 = 8,202.33 : x
  2. Step 2: Convert to fraction form
    18,583.29/27,874.94 = 8,202.33/x
  3. Step 3: Cross multiply
    18,583.29x = 27,874.94 × 8,202.33
  4. Step 4: Simplify right side
    18,583.29x = 228,639,415.60
  5. Step 5: Solve for x
    x = 228,639,415.60/18,583.29
  6. Step 6: Final answer
    x = 12,303.50

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1.5x scale

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.