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Finding the Fourth Proportional to 18,268, 25,209.84 and 9,884.56

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Solution

The fourth proportional to 18,268, 25,209.84 and 9,884.56 is: 13,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,268 : 25,209.84 = 9,884.56 : x
  2. Step 2: Convert to fraction form
    18,268/25,209.84 = 9,884.56/x
  3. Step 3: Cross multiply
    18,268x = 25,209.84 × 9,884.56
  4. Step 4: Simplify right side
    18,268x = 249,188,176.07
  5. Step 5: Solve for x
    x = 249,188,176.07/18,268
  6. Step 6: Final answer
    x = 13,640.69

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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.