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Finding the Fourth Proportional to 14,190.86, 19,581.63 and 8,220.38

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Solution

The fourth proportional to 14,190.86, 19,581.63 and 8,220.38 is: 11,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.86 : 19,581.63 = 8,220.38 : x
  2. Step 2: Convert to fraction form
    14,190.86/19,581.63 = 8,220.38/x
  3. Step 3: Cross multiply
    14,190.86x = 19,581.63 × 8,220.38
  4. Step 4: Simplify right side
    14,190.86x = 160,968,439.62
  5. Step 5: Solve for x
    x = 160,968,439.62/14,190.86
  6. Step 6: Final answer
    x = 11,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.