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Finding the Fourth Proportional to 11,532.59, 17,298.89 and 8,252.09

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Solution

The fourth proportional to 11,532.59, 17,298.89 and 8,252.09 is: 12,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.59 : 17,298.89 = 8,252.09 : x
  2. Step 2: Convert to fraction form
    11,532.59/17,298.89 = 8,252.09/x
  3. Step 3: Cross multiply
    11,532.59x = 17,298.89 × 8,252.09
  4. Step 4: Simplify right side
    11,532.59x = 142,751,965.24
  5. Step 5: Solve for x
    x = 142,751,965.24/11,532.59
  6. Step 6: Final answer
    x = 12,378.14

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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.