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Finding the Fourth Proportional to 18,292.56, 25,243.74 and 9,909

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Solution

The fourth proportional to 18,292.56, 25,243.74 and 9,909 is: 13,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.56 : 25,243.74 = 9,909 : x
  2. Step 2: Convert to fraction form
    18,292.56/25,243.74 = 9,909/x
  3. Step 3: Cross multiply
    18,292.56x = 25,243.74 × 9,909
  4. Step 4: Simplify right side
    18,292.56x = 250,140,219.66
  5. Step 5: Solve for x
    x = 250,140,219.66/18,292.56
  6. Step 6: Final answer
    x = 13,674.42

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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.