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Finding the Fourth Proportional to 14,532.69, 21,809.87 and 5,649.42

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Solution

The fourth proportional to 14,532.69, 21,809.87 and 5,649.42 is: 8,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.69 : 21,809.87 = 5,649.42 : x
  2. Step 2: Convert to fraction form
    14,532.69/21,809.87 = 5,649.42/x
  3. Step 3: Cross multiply
    14,532.69x = 21,809.87 × 5,649.42
  4. Step 4: Simplify right side
    14,532.69x = 123,213,115.78
  5. Step 5: Solve for x
    x = 123,213,115.78/14,532.69
  6. Step 6: Final answer
    x = 8,478.34

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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.