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Finding the Fourth Proportional to 14,507.74, 20,022.29 and 8,540.88

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Solution

The fourth proportional to 14,507.74, 20,022.29 and 8,540.88 is: 11,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.74 : 20,022.29 = 8,540.88 : x
  2. Step 2: Convert to fraction form
    14,507.74/20,022.29 = 8,540.88/x
  3. Step 3: Cross multiply
    14,507.74x = 20,022.29 × 8,540.88
  4. Step 4: Simplify right side
    14,507.74x = 171,007,976.22
  5. Step 5: Solve for x
    x = 171,007,976.22/14,507.74
  6. Step 6: Final answer
    x = 11,787.36

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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.