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Finding the Fourth Proportional to 17,176.16, 25,744.44 and 7,802.12

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Solution

The fourth proportional to 17,176.16, 25,744.44 and 7,802.12 is: 11,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176.16 : 25,744.44 = 7,802.12 : x
  2. Step 2: Convert to fraction form
    17,176.16/25,744.44 = 7,802.12/x
  3. Step 3: Cross multiply
    17,176.16x = 25,744.44 × 7,802.12
  4. Step 4: Simplify right side
    17,176.16x = 200,861,210.21
  5. Step 5: Solve for x
    x = 200,861,210.21/17,176.16
  6. Step 6: Final answer
    x = 11,694.19

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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.