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Finding the Fourth Proportional to 11,157.80, 16,704.30 and 10,833.80

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Solution

The fourth proportional to 11,157.80, 16,704.30 and 10,833.80 is: 16,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.80 : 16,704.30 = 10,833.80 : x
  2. Step 2: Convert to fraction form
    11,157.80/16,704.30 = 10,833.80/x
  3. Step 3: Cross multiply
    11,157.80x = 16,704.30 × 10,833.80
  4. Step 4: Simplify right side
    11,157.80x = 180,971,045.34
  5. Step 5: Solve for x
    x = 180,971,045.34/11,157.80
  6. Step 6: Final answer
    x = 16,219.24

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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.