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Finding the Fourth Proportional to 14,190.06, 19,581.03 and 8,219.82

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Solution

The fourth proportional to 14,190.06, 19,581.03 and 8,219.82 is: 11,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.06 : 19,581.03 = 8,219.82 : x
  2. Step 2: Convert to fraction form
    14,190.06/19,581.03 = 8,219.82/x
  3. Step 3: Cross multiply
    14,190.06x = 19,581.03 × 8,219.82
  4. Step 4: Simplify right side
    14,190.06x = 160,952,542.01
  5. Step 5: Solve for x
    x = 160,952,542.01/14,190.06
  6. Step 6: Final answer
    x = 11,342.63

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