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Finding the Fourth Proportional to 17,182.09, 25,782.72 and 9,284.46

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Solution

The fourth proportional to 17,182.09, 25,782.72 and 9,284.46 is: 13,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.09 : 25,782.72 = 9,284.46 : x
  2. Step 2: Convert to fraction form
    17,182.09/25,782.72 = 9,284.46/x
  3. Step 3: Cross multiply
    17,182.09x = 25,782.72 × 9,284.46
  4. Step 4: Simplify right side
    17,182.09x = 239,378,632.53
  5. Step 5: Solve for x
    x = 239,378,632.53/17,182.09
  6. Step 6: Final answer
    x = 13,931.87

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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.