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Finding the Fourth Proportional to 14,507.44, 20,020.26 and 8,219.81

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Solution

The fourth proportional to 14,507.44, 20,020.26 and 8,219.81 is: 11,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.44 : 20,020.26 = 8,219.81 : x
  2. Step 2: Convert to fraction form
    14,507.44/20,020.26 = 8,219.81/x
  3. Step 3: Cross multiply
    14,507.44x = 20,020.26 × 8,219.81
  4. Step 4: Simplify right side
    14,507.44x = 164,562,814.23
  5. Step 5: Solve for x
    x = 164,562,814.23/14,507.44
  6. Step 6: Final answer
    x = 11,343.34

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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.