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Finding the Fourth Proportional to 14,596.59, 20,143.32 and 8,308.97

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Solution

The fourth proportional to 14,596.59, 20,143.32 and 8,308.97 is: 11,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.59 : 20,143.32 = 8,308.97 : x
  2. Step 2: Convert to fraction form
    14,596.59/20,143.32 = 8,308.97/x
  3. Step 3: Cross multiply
    14,596.59x = 20,143.32 × 8,308.97
  4. Step 4: Simplify right side
    14,596.59x = 167,370,231.98
  5. Step 5: Solve for x
    x = 167,370,231.98/14,596.59
  6. Step 6: Final answer
    x = 11,466.39

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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.