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Finding the Fourth Proportional to 12,814.20, 19,230 and 4,494.15

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Solution

The fourth proportional to 12,814.20, 19,230 and 4,494.15 is: 6,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.20 : 19,230 = 4,494.15 : x
  2. Step 2: Convert to fraction form
    12,814.20/19,230 = 4,494.15/x
  3. Step 3: Cross multiply
    12,814.20x = 19,230 × 4,494.15
  4. Step 4: Simplify right side
    12,814.20x = 86,422,504.50
  5. Step 5: Solve for x
    x = 86,422,504.50/12,814.20
  6. Step 6: Final answer
    x = 6,744.28

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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.