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Finding the Fourth Proportional to 14,889.10, 20,546.87 and 8,174.83

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Solution

The fourth proportional to 14,889.10, 20,546.87 and 8,174.83 is: 11,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.10 : 20,546.87 = 8,174.83 : x
  2. Step 2: Convert to fraction form
    14,889.10/20,546.87 = 8,174.83/x
  3. Step 3: Cross multiply
    14,889.10x = 20,546.87 × 8,174.83
  4. Step 4: Simplify right side
    14,889.10x = 167,967,128.41
  5. Step 5: Solve for x
    x = 167,967,128.41/14,889.10
  6. Step 6: Final answer
    x = 11,281.21

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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.