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Finding the Fourth Proportional to 18,553.86, 27,820.38 and 8,017.30

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Solution

The fourth proportional to 18,553.86, 27,820.38 and 8,017.30 is: 12,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.86 : 27,820.38 = 8,017.30 : x
  2. Step 2: Convert to fraction form
    18,553.86/27,820.38 = 8,017.30/x
  3. Step 3: Cross multiply
    18,553.86x = 27,820.38 × 8,017.30
  4. Step 4: Simplify right side
    18,553.86x = 223,044,332.57
  5. Step 5: Solve for x
    x = 223,044,332.57/18,553.86
  6. Step 6: Final answer
    x = 12,021.45

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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.