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Finding the Fourth Proportional to 18,582.64, 27,878.21 and 8,054.42

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Solution

The fourth proportional to 18,582.64, 27,878.21 and 8,054.42 is: 12,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582.64 : 27,878.21 = 8,054.42 : x
  2. Step 2: Convert to fraction form
    18,582.64/27,878.21 = 8,054.42/x
  3. Step 3: Cross multiply
    18,582.64x = 27,878.21 × 8,054.42
  4. Step 4: Simplify right side
    18,582.64x = 224,542,812.19
  5. Step 5: Solve for x
    x = 224,542,812.19/18,582.64
  6. Step 6: Final answer
    x = 12,083.47

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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.