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Finding the Fourth Proportional to 11,748.80, 17,623.20 and 11,230.40

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Solution

The fourth proportional to 11,748.80, 17,623.20 and 11,230.40 is: 16,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.80 : 17,623.20 = 11,230.40 : x
  2. Step 2: Convert to fraction form
    11,748.80/17,623.20 = 11,230.40/x
  3. Step 3: Cross multiply
    11,748.80x = 17,623.20 × 11,230.40
  4. Step 4: Simplify right side
    11,748.80x = 197,915,585.28
  5. Step 5: Solve for x
    x = 197,915,585.28/11,748.80
  6. Step 6: Final answer
    x = 16,845.60

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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.