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Finding the Fourth Proportional to 14,594.98, 20,141.85 and 8,309.38

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Solution

The fourth proportional to 14,594.98, 20,141.85 and 8,309.38 is: 11,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.98 : 20,141.85 = 8,309.38 : x
  2. Step 2: Convert to fraction form
    14,594.98/20,141.85 = 8,309.38/x
  3. Step 3: Cross multiply
    14,594.98x = 20,141.85 × 8,309.38
  4. Step 4: Simplify right side
    14,594.98x = 167,366,285.55
  5. Step 5: Solve for x
    x = 167,366,285.55/14,594.98
  6. Step 6: Final answer
    x = 11,467.39

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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.