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Finding the Fourth Proportional to 14,889.14, 20,546.93 and 8,174.88

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Solution

The fourth proportional to 14,889.14, 20,546.93 and 8,174.88 is: 11,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.14 : 20,546.93 = 8,174.88 : x
  2. Step 2: Convert to fraction form
    14,889.14/20,546.93 = 8,174.88/x
  3. Step 3: Cross multiply
    14,889.14x = 20,546.93 × 8,174.88
  4. Step 4: Simplify right side
    14,889.14x = 167,968,687.12
  5. Step 5: Solve for x
    x = 167,968,687.12/14,889.14
  6. Step 6: Final answer
    x = 11,281.29

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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.