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Finding the Fourth Proportional to 14,514.97, 20,033.64 and 8,228.56

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Solution

The fourth proportional to 14,514.97, 20,033.64 and 8,228.56 is: 11,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.97 : 20,033.64 = 8,228.56 : x
  2. Step 2: Convert to fraction form
    14,514.97/20,033.64 = 8,228.56/x
  3. Step 3: Cross multiply
    14,514.97x = 20,033.64 × 8,228.56
  4. Step 4: Simplify right side
    14,514.97x = 164,848,008.76
  5. Step 5: Solve for x
    x = 164,848,008.76/14,514.97
  6. Step 6: Final answer
    x = 11,357.10

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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.