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Finding the Fourth Proportional to 12,190.90, 16,823.52 and 7,474.28

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Solution

The fourth proportional to 12,190.90, 16,823.52 and 7,474.28 is: 10,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.90 : 16,823.52 = 7,474.28 : x
  2. Step 2: Convert to fraction form
    12,190.90/16,823.52 = 7,474.28/x
  3. Step 3: Cross multiply
    12,190.90x = 16,823.52 × 7,474.28
  4. Step 4: Simplify right side
    12,190.90x = 125,743,699.07
  5. Step 5: Solve for x
    x = 125,743,699.07/12,190.90
  6. Step 6: Final answer
    x = 10,314.55

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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.