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Finding the Fourth Proportional to 18,105.69, 24,986.58 and 10,147.86

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Solution

The fourth proportional to 18,105.69, 24,986.58 and 10,147.86 is: 14,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.69 : 24,986.58 = 10,147.86 : x
  2. Step 2: Convert to fraction form
    18,105.69/24,986.58 = 10,147.86/x
  3. Step 3: Cross multiply
    18,105.69x = 24,986.58 × 10,147.86
  4. Step 4: Simplify right side
    18,105.69x = 253,560,315.72
  5. Step 5: Solve for x
    x = 253,560,315.72/18,105.69
  6. Step 6: Final answer
    x = 14,004.45

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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.