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Finding the Fourth Proportional to 16,830.72, 23,230.80 and 11,523.60

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Solution

The fourth proportional to 16,830.72, 23,230.80 and 11,523.60 is: 15,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830.72 : 23,230.80 = 11,523.60 : x
  2. Step 2: Convert to fraction form
    16,830.72/23,230.80 = 11,523.60/x
  3. Step 3: Cross multiply
    16,830.72x = 23,230.80 × 11,523.60
  4. Step 4: Simplify right side
    16,830.72x = 267,702,446.88
  5. Step 5: Solve for x
    x = 267,702,446.88/16,830.72
  6. Step 6: Final answer
    x = 15,905.58

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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.