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Finding the Fourth Proportional to 19,162.74, 28,744.25 and 6,682.74

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Solution

The fourth proportional to 19,162.74, 28,744.25 and 6,682.74 is: 10,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,162.74 : 28,744.25 = 6,682.74 : x
  2. Step 2: Convert to fraction form
    19,162.74/28,744.25 = 6,682.74/x
  3. Step 3: Cross multiply
    19,162.74x = 28,744.25 × 6,682.74
  4. Step 4: Simplify right side
    19,162.74x = 192,090,349.25
  5. Step 5: Solve for x
    x = 192,090,349.25/19,162.74
  6. Step 6: Final answer
    x = 10,024.16

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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.