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Finding the Fourth Proportional to 12,814.40, 19,214.87 and 5,788.36

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Solution

The fourth proportional to 12,814.40, 19,214.87 and 5,788.36 is: 8,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.40 : 19,214.87 = 5,788.36 : x
  2. Step 2: Convert to fraction form
    12,814.40/19,214.87 = 5,788.36/x
  3. Step 3: Cross multiply
    12,814.40x = 19,214.87 × 5,788.36
  4. Step 4: Simplify right side
    12,814.40x = 111,222,584.91
  5. Step 5: Solve for x
    x = 111,222,584.91/12,814.40
  6. Step 6: Final answer
    x = 8,679.50

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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.