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Finding the Fourth Proportional to 17,284.50, 23,853.69 and 9,832.50

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Solution

The fourth proportional to 17,284.50, 23,853.69 and 9,832.50 is: 13,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.50 : 23,853.69 = 9,832.50 : x
  2. Step 2: Convert to fraction form
    17,284.50/23,853.69 = 9,832.50/x
  3. Step 3: Cross multiply
    17,284.50x = 23,853.69 × 9,832.50
  4. Step 4: Simplify right side
    17,284.50x = 234,541,406.93
  5. Step 5: Solve for x
    x = 234,541,406.93/17,284.50
  6. Step 6: Final answer
    x = 13,569.46

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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.