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Finding the Fourth Proportional to 17,719.16, 26,578.73 and 7,189.16

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Solution

The fourth proportional to 17,719.16, 26,578.73 and 7,189.16 is: 10,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,719.16 : 26,578.73 = 7,189.16 : x
  2. Step 2: Convert to fraction form
    17,719.16/26,578.73 = 7,189.16/x
  3. Step 3: Cross multiply
    17,719.16x = 26,578.73 × 7,189.16
  4. Step 4: Simplify right side
    17,719.16x = 191,078,627.65
  5. Step 5: Solve for x
    x = 191,078,627.65/17,719.16
  6. Step 6: Final answer
    x = 10,783.73

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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.