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Finding the Fourth Proportional to 13,198.23, 18,213.12 and 7,890.30

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Solution

The fourth proportional to 13,198.23, 18,213.12 and 7,890.30 is: 10,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.23 : 18,213.12 = 7,890.30 : x
  2. Step 2: Convert to fraction form
    13,198.23/18,213.12 = 7,890.30/x
  3. Step 3: Cross multiply
    13,198.23x = 18,213.12 × 7,890.30
  4. Step 4: Simplify right side
    13,198.23x = 143,706,980.74
  5. Step 5: Solve for x
    x = 143,706,980.74/13,198.23
  6. Step 6: Final answer
    x = 10,888.35

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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.