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Finding the Fourth Proportional to 20,008, 30,076.80 and 18,565.12

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Solution

The fourth proportional to 20,008, 30,076.80 and 18,565.12 is: 27,907.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008 : 30,076.80 = 18,565.12 : x
  2. Step 2: Convert to fraction form
    20,008/30,076.80 = 18,565.12/x
  3. Step 3: Cross multiply
    20,008x = 30,076.80 × 18,565.12
  4. Step 4: Simplify right side
    20,008x = 558,379,401.22
  5. Step 5: Solve for x
    x = 558,379,401.22/20,008
  6. Step 6: Final answer
    x = 27,907.81

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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.