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Finding the Fourth Proportional to 14,596.50, 20,143.19 and 8,308.88

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Solution

The fourth proportional to 14,596.50, 20,143.19 and 8,308.88 is: 11,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.50 : 20,143.19 = 8,308.88 : x
  2. Step 2: Convert to fraction form
    14,596.50/20,143.19 = 8,308.88/x
  3. Step 3: Cross multiply
    14,596.50x = 20,143.19 × 8,308.88
  4. Step 4: Simplify right side
    14,596.50x = 167,367,268.58
  5. Step 5: Solve for x
    x = 167,367,268.58/14,596.50
  6. Step 6: Final answer
    x = 11,466.26

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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.