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Finding the Fourth Proportional to 14,200.92, 21,299.76 and 12,115.98

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Solution

The fourth proportional to 14,200.92, 21,299.76 and 12,115.98 is: 18,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.92 : 21,299.76 = 12,115.98 : x
  2. Step 2: Convert to fraction form
    14,200.92/21,299.76 = 12,115.98/x
  3. Step 3: Cross multiply
    14,200.92x = 21,299.76 × 12,115.98
  4. Step 4: Simplify right side
    14,200.92x = 258,067,466.16
  5. Step 5: Solve for x
    x = 258,067,466.16/14,200.92
  6. Step 6: Final answer
    x = 18,172.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.