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Finding the Fourth Proportional to 13,617.30, 20,406.48 and 7,761.84

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Solution

The fourth proportional to 13,617.30, 20,406.48 and 7,761.84 is: 11,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.30 : 20,406.48 = 7,761.84 : x
  2. Step 2: Convert to fraction form
    13,617.30/20,406.48 = 7,761.84/x
  3. Step 3: Cross multiply
    13,617.30x = 20,406.48 × 7,761.84
  4. Step 4: Simplify right side
    13,617.30x = 158,391,832.72
  5. Step 5: Solve for x
    x = 158,391,832.72/13,617.30
  6. Step 6: Final answer
    x = 11,631.66

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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.