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Finding the Fourth Proportional to 14,507.12, 20,021.44 and 8,540.27

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Solution

The fourth proportional to 14,507.12, 20,021.44 and 8,540.27 is: 11,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.12 : 20,021.44 = 8,540.27 : x
  2. Step 2: Convert to fraction form
    14,507.12/20,021.44 = 8,540.27/x
  3. Step 3: Cross multiply
    14,507.12x = 20,021.44 × 8,540.27
  4. Step 4: Simplify right side
    14,507.12x = 170,988,381.93
  5. Step 5: Solve for x
    x = 170,988,381.93/14,507.12
  6. Step 6: Final answer
    x = 11,786.52

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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.