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Finding the Fourth Proportional to 14,189.65, 19,580.83 and 8,220.29

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Solution

The fourth proportional to 14,189.65, 19,580.83 and 8,220.29 is: 11,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.65 : 19,580.83 = 8,220.29 : x
  2. Step 2: Convert to fraction form
    14,189.65/19,580.83 = 8,220.29/x
  3. Step 3: Cross multiply
    14,189.65x = 19,580.83 × 8,220.29
  4. Step 4: Simplify right side
    14,189.65x = 160,959,982.59
  5. Step 5: Solve for x
    x = 160,959,982.59/14,189.65
  6. Step 6: Final answer
    x = 11,343.48

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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.