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Finding the Fourth Proportional to 19,223.14, 28,847.64 and 6,743.20

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Solution

The fourth proportional to 19,223.14, 28,847.64 and 6,743.20 is: 10,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.14 : 28,847.64 = 6,743.20 : x
  2. Step 2: Convert to fraction form
    19,223.14/28,847.64 = 6,743.20/x
  3. Step 3: Cross multiply
    19,223.14x = 28,847.64 × 6,743.20
  4. Step 4: Simplify right side
    19,223.14x = 194,525,406.05
  5. Step 5: Solve for x
    x = 194,525,406.05/19,223.14
  6. Step 6: Final answer
    x = 10,119.34

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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.