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Finding the Fourth Proportional to 14,576.22, 20,114.52 and 8,920.38

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Solution

The fourth proportional to 14,576.22, 20,114.52 and 8,920.38 is: 12,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.22 : 20,114.52 = 8,920.38 : x
  2. Step 2: Convert to fraction form
    14,576.22/20,114.52 = 8,920.38/x
  3. Step 3: Cross multiply
    14,576.22x = 20,114.52 × 8,920.38
  4. Step 4: Simplify right side
    14,576.22x = 179,429,161.92
  5. Step 5: Solve for x
    x = 179,429,161.92/14,576.22
  6. Step 6: Final answer
    x = 12,309.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.