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Finding the Fourth Proportional to 17,117.68, 25,678.14 and 6,727

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Solution

The fourth proportional to 17,117.68, 25,678.14 and 6,727 is: 10,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.68 : 25,678.14 = 6,727 : x
  2. Step 2: Convert to fraction form
    17,117.68/25,678.14 = 6,727/x
  3. Step 3: Cross multiply
    17,117.68x = 25,678.14 × 6,727
  4. Step 4: Simplify right side
    17,117.68x = 172,736,847.78
  5. Step 5: Solve for x
    x = 172,736,847.78/17,117.68
  6. Step 6: Final answer
    x = 10,091.14

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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.