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Finding the Fourth Proportional to 18,536.48, 27,801.84 and 6,847.04

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Solution

The fourth proportional to 18,536.48, 27,801.84 and 6,847.04 is: 10,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.48 : 27,801.84 = 6,847.04 : x
  2. Step 2: Convert to fraction form
    18,536.48/27,801.84 = 6,847.04/x
  3. Step 3: Cross multiply
    18,536.48x = 27,801.84 × 6,847.04
  4. Step 4: Simplify right side
    18,536.48x = 190,360,310.55
  5. Step 5: Solve for x
    x = 190,360,310.55/18,536.48
  6. Step 6: Final answer
    x = 10,269.50

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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.