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Finding the Fourth Proportional to 13,523.60, 20,285.40 and 11,795.60

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Solution

The fourth proportional to 13,523.60, 20,285.40 and 11,795.60 is: 17,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.60 : 20,285.40 = 11,795.60 : x
  2. Step 2: Convert to fraction form
    13,523.60/20,285.40 = 11,795.60/x
  3. Step 3: Cross multiply
    13,523.60x = 20,285.40 × 11,795.60
  4. Step 4: Simplify right side
    13,523.60x = 239,278,464.24
  5. Step 5: Solve for x
    x = 239,278,464.24/13,523.60
  6. Step 6: Final answer
    x = 17,693.40

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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.