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Finding the Fourth Proportional to 14,576.40, 20,116.80 and 8,204.52

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Solution

The fourth proportional to 14,576.40, 20,116.80 and 8,204.52 is: 11,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.40 : 20,116.80 = 8,204.52 : x
  2. Step 2: Convert to fraction form
    14,576.40/20,116.80 = 8,204.52/x
  3. Step 3: Cross multiply
    14,576.40x = 20,116.80 × 8,204.52
  4. Step 4: Simplify right side
    14,576.40x = 165,048,687.94
  5. Step 5: Solve for x
    x = 165,048,687.94/14,576.40
  6. Step 6: Final answer
    x = 11,323.01

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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.