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Finding the Fourth Proportional to 14,540.40, 21,797.64 and 5,769.36

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Solution

The fourth proportional to 14,540.40, 21,797.64 and 5,769.36 is: 8,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540.40 : 21,797.64 = 5,769.36 : x
  2. Step 2: Convert to fraction form
    14,540.40/21,797.64 = 5,769.36/x
  3. Step 3: Cross multiply
    14,540.40x = 21,797.64 × 5,769.36
  4. Step 4: Simplify right side
    14,540.40x = 125,758,432.31
  5. Step 5: Solve for x
    x = 125,758,432.31/14,540.40
  6. Step 6: Final answer
    x = 8,648.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.