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Finding the Fourth Proportional to 14,190.65, 19,582.21 and 8,221.29

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Solution

The fourth proportional to 14,190.65, 19,582.21 and 8,221.29 is: 11,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.65 : 19,582.21 = 8,221.29 : x
  2. Step 2: Convert to fraction form
    14,190.65/19,582.21 = 8,221.29/x
  3. Step 3: Cross multiply
    14,190.65x = 19,582.21 × 8,221.29
  4. Step 4: Simplify right side
    14,190.65x = 160,991,027.25
  5. Step 5: Solve for x
    x = 160,991,027.25/14,190.65
  6. Step 6: Final answer
    x = 11,344.87

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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.