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Finding the Fourth Proportional to 11,314.82, 16,965.75 and 10,662.50

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Solution

The fourth proportional to 11,314.82, 16,965.75 and 10,662.50 is: 15,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.82 : 16,965.75 = 10,662.50 : x
  2. Step 2: Convert to fraction form
    11,314.82/16,965.75 = 10,662.50/x
  3. Step 3: Cross multiply
    11,314.82x = 16,965.75 × 10,662.50
  4. Step 4: Simplify right side
    11,314.82x = 180,897,309.38
  5. Step 5: Solve for x
    x = 180,897,309.38/11,314.82
  6. Step 6: Final answer
    x = 15,987.64

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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.