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Finding the Fourth Proportional to 17,585.54, 24,268.06 and 9,627.78

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Solution

The fourth proportional to 17,585.54, 24,268.06 and 9,627.78 is: 13,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.54 : 24,268.06 = 9,627.78 : x
  2. Step 2: Convert to fraction form
    17,585.54/24,268.06 = 9,627.78/x
  3. Step 3: Cross multiply
    17,585.54x = 24,268.06 × 9,627.78
  4. Step 4: Simplify right side
    17,585.54x = 233,647,542.71
  5. Step 5: Solve for x
    x = 233,647,542.71/17,585.54
  6. Step 6: Final answer
    x = 13,286.34

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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.