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Finding the Fourth Proportional to 19,297.67, 28,929.86 and 7,459.75

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Solution

The fourth proportional to 19,297.67, 28,929.86 and 7,459.75 is: 11,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.67 : 28,929.86 = 7,459.75 : x
  2. Step 2: Convert to fraction form
    19,297.67/28,929.86 = 7,459.75/x
  3. Step 3: Cross multiply
    19,297.67x = 28,929.86 × 7,459.75
  4. Step 4: Simplify right side
    19,297.67x = 215,809,523.14
  5. Step 5: Solve for x
    x = 215,809,523.14/19,297.67
  6. Step 6: Final answer
    x = 11,183.19

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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.