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Finding the Fourth Proportional to 17,268, 25,902.56 and 4,788.16

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Solution

The fourth proportional to 17,268, 25,902.56 and 4,788.16 is: 7,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268 : 25,902.56 = 4,788.16 : x
  2. Step 2: Convert to fraction form
    17,268/25,902.56 = 4,788.16/x
  3. Step 3: Cross multiply
    17,268x = 25,902.56 × 4,788.16
  4. Step 4: Simplify right side
    17,268x = 124,025,601.69
  5. Step 5: Solve for x
    x = 124,025,601.69/17,268
  6. Step 6: Final answer
    x = 7,182.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.