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Finding the Fourth Proportional to 14,900.34, 20,562.49 and 8,185.98

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Solution

The fourth proportional to 14,900.34, 20,562.49 and 8,185.98 is: 11,296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.34 : 20,562.49 = 8,185.98 : x
  2. Step 2: Convert to fraction form
    14,900.34/20,562.49 = 8,185.98/x
  3. Step 3: Cross multiply
    14,900.34x = 20,562.49 × 8,185.98
  4. Step 4: Simplify right side
    14,900.34x = 168,324,196.21
  5. Step 5: Solve for x
    x = 168,324,196.21/14,900.34
  6. Step 6: Final answer
    x = 11,296.67

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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.