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Finding the Fourth Proportional to 17,121.68, 25,684.16 and 6,731

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Solution

The fourth proportional to 17,121.68, 25,684.16 and 6,731 is: 10,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,121.68 : 25,684.16 = 6,731 : x
  2. Step 2: Convert to fraction form
    17,121.68/25,684.16 = 6,731/x
  3. Step 3: Cross multiply
    17,121.68x = 25,684.16 × 6,731
  4. Step 4: Simplify right side
    17,121.68x = 172,880,080.96
  5. Step 5: Solve for x
    x = 172,880,080.96/17,121.68
  6. Step 6: Final answer
    x = 10,097.14

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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.