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Finding the Fourth Proportional to 14,119.44, 21,186 and 5,805.60

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Solution

The fourth proportional to 14,119.44, 21,186 and 5,805.60 is: 8,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.44 : 21,186 = 5,805.60 : x
  2. Step 2: Convert to fraction form
    14,119.44/21,186 = 5,805.60/x
  3. Step 3: Cross multiply
    14,119.44x = 21,186 × 5,805.60
  4. Step 4: Simplify right side
    14,119.44x = 122,997,441.60
  5. Step 5: Solve for x
    x = 122,997,441.60/14,119.44
  6. Step 6: Final answer
    x = 8,711.21

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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.