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Finding the Fourth Proportional to 12,855.40, 17,740.09 and 7,190.16

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Solution

The fourth proportional to 12,855.40, 17,740.09 and 7,190.16 is: 9,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.40 : 17,740.09 = 7,190.16 : x
  2. Step 2: Convert to fraction form
    12,855.40/17,740.09 = 7,190.16/x
  3. Step 3: Cross multiply
    12,855.40x = 17,740.09 × 7,190.16
  4. Step 4: Simplify right side
    12,855.40x = 127,554,027.98
  5. Step 5: Solve for x
    x = 127,554,027.98/12,855.40
  6. Step 6: Final answer
    x = 9,922.22

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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.