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Finding the Fourth Proportional to 12,532.80, 17,298.24 and 8,284.68

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Solution

The fourth proportional to 12,532.80, 17,298.24 and 8,284.68 is: 11,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.80 : 17,298.24 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    12,532.80/17,298.24 = 8,284.68/x
  3. Step 3: Cross multiply
    12,532.80x = 17,298.24 × 8,284.68
  4. Step 4: Simplify right side
    12,532.80x = 143,310,382.96
  5. Step 5: Solve for x
    x = 143,310,382.96/12,532.80
  6. Step 6: Final answer
    x = 11,434.83

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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.