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Finding the Fourth Proportional to 18,582.41, 27,874.94 and 7,489.16

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Solution

The fourth proportional to 18,582.41, 27,874.94 and 7,489.16 is: 11,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.41 : 27,874.94 = 7,489.16 : x
  2. Step 2: Convert to fraction form
    18,582.41/27,874.94 = 7,489.16/x
  3. Step 3: Cross multiply
    18,582.41x = 27,874.94 × 7,489.16
  4. Step 4: Simplify right side
    18,582.41x = 208,759,813.36
  5. Step 5: Solve for x
    x = 208,759,813.36/18,582.41
  6. Step 6: Final answer
    x = 11,234.27

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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.