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Finding the Fourth Proportional to 11,314.50, 16,989.12 and 10,815.36

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Solution

The fourth proportional to 11,314.50, 16,989.12 and 10,815.36 is: 16,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.50 : 16,989.12 = 10,815.36 : x
  2. Step 2: Convert to fraction form
    11,314.50/16,989.12 = 10,815.36/x
  3. Step 3: Cross multiply
    11,314.50x = 16,989.12 × 10,815.36
  4. Step 4: Simplify right side
    11,314.50x = 183,743,448.88
  5. Step 5: Solve for x
    x = 183,743,448.88/11,314.50
  6. Step 6: Final answer
    x = 16,239.64

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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.