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Finding the Fourth Proportional to 14,505.96, 20,021.19 and 8,219.55

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Solution

The fourth proportional to 14,505.96, 20,021.19 and 8,219.55 is: 11,344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,505.96 : 20,021.19 = 8,219.55 : x
  2. Step 2: Convert to fraction form
    14,505.96/20,021.19 = 8,219.55/x
  3. Step 3: Cross multiply
    14,505.96x = 20,021.19 × 8,219.55
  4. Step 4: Simplify right side
    14,505.96x = 164,565,172.26
  5. Step 5: Solve for x
    x = 164,565,172.26/14,505.96
  6. Step 6: Final answer
    x = 11,344.66

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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.