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Finding the Fourth Proportional to 18,563.98, 27,847.10 and 7,470.64

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Solution

The fourth proportional to 18,563.98, 27,847.10 and 7,470.64 is: 11,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.98 : 27,847.10 = 7,470.64 : x
  2. Step 2: Convert to fraction form
    18,563.98/27,847.10 = 7,470.64/x
  3. Step 3: Cross multiply
    18,563.98x = 27,847.10 × 7,470.64
  4. Step 4: Simplify right side
    18,563.98x = 208,035,659.14
  5. Step 5: Solve for x
    x = 208,035,659.14/18,563.98
  6. Step 6: Final answer
    x = 11,206.41

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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.