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Finding the Fourth Proportional to 16,765.72, 23,136.04 and 9,314.20

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Solution

The fourth proportional to 16,765.72, 23,136.04 and 9,314.20 is: 12,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.72 : 23,136.04 = 9,314.20 : x
  2. Step 2: Convert to fraction form
    16,765.72/23,136.04 = 9,314.20/x
  3. Step 3: Cross multiply
    16,765.72x = 23,136.04 × 9,314.20
  4. Step 4: Simplify right side
    16,765.72x = 215,493,703.77
  5. Step 5: Solve for x
    x = 215,493,703.77/16,765.72
  6. Step 6: Final answer
    x = 12,853.23

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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.