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Finding the Fourth Proportional to 18,536.04, 27,814.98 and 6,857.40

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Solution

The fourth proportional to 18,536.04, 27,814.98 and 6,857.40 is: 10,290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.04 : 27,814.98 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    18,536.04/27,814.98 = 6,857.40/x
  3. Step 3: Cross multiply
    18,536.04x = 27,814.98 × 6,857.40
  4. Step 4: Simplify right side
    18,536.04x = 190,738,443.85
  5. Step 5: Solve for x
    x = 190,738,443.85/18,536.04
  6. Step 6: Final answer
    x = 10,290.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.