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Finding the Fourth Proportional to 14,596.34, 20,142.87 and 8,222.91

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Solution

The fourth proportional to 14,596.34, 20,142.87 and 8,222.91 is: 11,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.34 : 20,142.87 = 8,222.91 : x
  2. Step 2: Convert to fraction form
    14,596.34/20,142.87 = 8,222.91/x
  3. Step 3: Cross multiply
    14,596.34x = 20,142.87 × 8,222.91
  4. Step 4: Simplify right side
    14,596.34x = 165,633,007.15
  5. Step 5: Solve for x
    x = 165,633,007.15/14,596.34
  6. Step 6: Final answer
    x = 11,347.57

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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.