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Finding the Fourth Proportional to 14,596.19, 20,143.77 and 8,308.57

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Solution

The fourth proportional to 14,596.19, 20,143.77 and 8,308.57 is: 11,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.19 : 20,143.77 = 8,308.57 : x
  2. Step 2: Convert to fraction form
    14,596.19/20,143.77 = 8,308.57/x
  3. Step 3: Cross multiply
    14,596.19x = 20,143.77 × 8,308.57
  4. Step 4: Simplify right side
    14,596.19x = 167,365,872.75
  5. Step 5: Solve for x
    x = 167,365,872.75/14,596.19
  6. Step 6: Final answer
    x = 11,466.41

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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.