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Finding the Fourth Proportional to 18,536.62, 27,808.56 and 6,849.94

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Solution

The fourth proportional to 18,536.62, 27,808.56 and 6,849.94 is: 10,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.62 : 27,808.56 = 6,849.94 : x
  2. Step 2: Convert to fraction form
    18,536.62/27,808.56 = 6,849.94/x
  3. Step 3: Cross multiply
    18,536.62x = 27,808.56 × 6,849.94
  4. Step 4: Simplify right side
    18,536.62x = 190,486,967.49
  5. Step 5: Solve for x
    x = 190,486,967.49/18,536.62
  6. Step 6: Final answer
    x = 10,276.25

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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.