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Finding the Fourth Proportional to 13,588.55, 20,376.24 and 7,967.76

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Solution

The fourth proportional to 13,588.55, 20,376.24 and 7,967.76 is: 11,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.55 : 20,376.24 = 7,967.76 : x
  2. Step 2: Convert to fraction form
    13,588.55/20,376.24 = 7,967.76/x
  3. Step 3: Cross multiply
    13,588.55x = 20,376.24 × 7,967.76
  4. Step 4: Simplify right side
    13,588.55x = 162,352,990.02
  5. Step 5: Solve for x
    x = 162,352,990.02/13,588.55
  6. Step 6: Final answer
    x = 11,947.78

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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.