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Finding the Fourth Proportional to 17,182.33, 25,783.40 and 9,284.86

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Solution

The fourth proportional to 17,182.33, 25,783.40 and 9,284.86 is: 13,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.33 : 25,783.40 = 9,284.86 : x
  2. Step 2: Convert to fraction form
    17,182.33/25,783.40 = 9,284.86/x
  3. Step 3: Cross multiply
    17,182.33x = 25,783.40 × 9,284.86
  4. Step 4: Simplify right side
    17,182.33x = 239,395,083.98
  5. Step 5: Solve for x
    x = 239,395,083.98/17,182.33
  6. Step 6: Final answer
    x = 13,932.64

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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.