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Finding the Fourth Proportional to 27,646.40, 41,450.16 and 12,839.60

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Solution

The fourth proportional to 27,646.40, 41,450.16 and 12,839.60 is: 19,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646.40 : 41,450.16 = 12,839.60 : x
  2. Step 2: Convert to fraction form
    27,646.40/41,450.16 = 12,839.60/x
  3. Step 3: Cross multiply
    27,646.40x = 41,450.16 × 12,839.60
  4. Step 4: Simplify right side
    27,646.40x = 532,203,474.34
  5. Step 5: Solve for x
    x = 532,203,474.34/27,646.40
  6. Step 6: Final answer
    x = 19,250.37

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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.