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Finding the Fourth Proportional to 19,297.86, 28,932.19 and 6,142.65

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Solution

The fourth proportional to 19,297.86, 28,932.19 and 6,142.65 is: 9,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,297.86 : 28,932.19 = 6,142.65 : x
  2. Step 2: Convert to fraction form
    19,297.86/28,932.19 = 6,142.65/x
  3. Step 3: Cross multiply
    19,297.86x = 28,932.19 × 6,142.65
  4. Step 4: Simplify right side
    19,297.86x = 177,720,316.90
  5. Step 5: Solve for x
    x = 177,720,316.90/19,297.86
  6. Step 6: Final answer
    x = 9,209.33

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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.