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Finding the Fourth Proportional to 17,505.68, 26,241.91 and 6,982.16

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Solution

The fourth proportional to 17,505.68, 26,241.91 and 6,982.16 is: 10,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.68 : 26,241.91 = 6,982.16 : x
  2. Step 2: Convert to fraction form
    17,505.68/26,241.91 = 6,982.16/x
  3. Step 3: Cross multiply
    17,505.68x = 26,241.91 × 6,982.16
  4. Step 4: Simplify right side
    17,505.68x = 183,225,214.33
  5. Step 5: Solve for x
    x = 183,225,214.33/17,505.68
  6. Step 6: Final answer
    x = 10,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.