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Finding the Fourth Proportional to 12,473.85, 17,199.94 and 10,198.09

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Solution

The fourth proportional to 12,473.85, 17,199.94 and 10,198.09 is: 14,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.85 : 17,199.94 = 10,198.09 : x
  2. Step 2: Convert to fraction form
    12,473.85/17,199.94 = 10,198.09/x
  3. Step 3: Cross multiply
    12,473.85x = 17,199.94 × 10,198.09
  4. Step 4: Simplify right side
    12,473.85x = 175,406,536.11
  5. Step 5: Solve for x
    x = 175,406,536.11/12,473.85
  6. Step 6: Final answer
    x = 14,061.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.