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Finding the Fourth Proportional to 18,102.90, 24,983 and 10,147.69

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Solution

The fourth proportional to 18,102.90, 24,983 and 10,147.69 is: 14,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.90 : 24,983 = 10,147.69 : x
  2. Step 2: Convert to fraction form
    18,102.90/24,983 = 10,147.69/x
  3. Step 3: Cross multiply
    18,102.90x = 24,983 × 10,147.69
  4. Step 4: Simplify right side
    18,102.90x = 253,519,739.27
  5. Step 5: Solve for x
    x = 253,519,739.27/18,102.90
  6. Step 6: Final answer
    x = 14,004.37

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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.