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Finding the Fourth Proportional to 13,608.20, 20,416.07 and 7,768.91

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Solution

The fourth proportional to 13,608.20, 20,416.07 and 7,768.91 is: 11,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.20 : 20,416.07 = 7,768.91 : x
  2. Step 2: Convert to fraction form
    13,608.20/20,416.07 = 7,768.91/x
  3. Step 3: Cross multiply
    13,608.20x = 20,416.07 × 7,768.91
  4. Step 4: Simplify right side
    13,608.20x = 158,610,527.73
  5. Step 5: Solve for x
    x = 158,610,527.73/13,608.20
  6. Step 6: Final answer
    x = 11,655.52

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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.