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Finding the Fourth Proportional to 11,614.69, 17,424.33 and 4,219.39

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Solution

The fourth proportional to 11,614.69, 17,424.33 and 4,219.39 is: 6,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.69 : 17,424.33 = 4,219.39 : x
  2. Step 2: Convert to fraction form
    11,614.69/17,424.33 = 4,219.39/x
  3. Step 3: Cross multiply
    11,614.69x = 17,424.33 × 4,219.39
  4. Step 4: Simplify right side
    11,614.69x = 73,520,043.76
  5. Step 5: Solve for x
    x = 73,520,043.76/11,614.69
  6. Step 6: Final answer
    x = 6,329.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.