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Finding the Fourth Proportional to 17,930.75, 24,744.44 and 10,478.75

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Solution

The fourth proportional to 17,930.75, 24,744.44 and 10,478.75 is: 14,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.75 : 24,744.44 = 10,478.75 : x
  2. Step 2: Convert to fraction form
    17,930.75/24,744.44 = 10,478.75/x
  3. Step 3: Cross multiply
    17,930.75x = 24,744.44 × 10,478.75
  4. Step 4: Simplify right side
    17,930.75x = 259,290,800.65
  5. Step 5: Solve for x
    x = 259,290,800.65/17,930.75
  6. Step 6: Final answer
    x = 14,460.68

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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.