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Finding the Fourth Proportional to 17,284.50, 23,852.75 and 9,832.50

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Solution

The fourth proportional to 17,284.50, 23,852.75 and 9,832.50 is: 13,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.50 : 23,852.75 = 9,832.50 : x
  2. Step 2: Convert to fraction form
    17,284.50/23,852.75 = 9,832.50/x
  3. Step 3: Cross multiply
    17,284.50x = 23,852.75 × 9,832.50
  4. Step 4: Simplify right side
    17,284.50x = 234,532,115.21
  5. Step 5: Solve for x
    x = 234,532,115.21/17,284.50
  6. Step 6: Final answer
    x = 13,568.93

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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.