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Finding the Fourth Proportional to 27,636.80, 41,450.40 and 10,097.60

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Solution

The fourth proportional to 27,636.80, 41,450.40 and 10,097.60 is: 15,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.80 : 41,450.40 = 10,097.60 : x
  2. Step 2: Convert to fraction form
    27,636.80/41,450.40 = 10,097.60/x
  3. Step 3: Cross multiply
    27,636.80x = 41,450.40 × 10,097.60
  4. Step 4: Simplify right side
    27,636.80x = 418,549,559.04
  5. Step 5: Solve for x
    x = 418,549,559.04/27,636.80
  6. Step 6: Final answer
    x = 15,144.65

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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.