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Finding the Fourth Proportional to 13,551.98, 20,335.73 and 7,311.96

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Solution

The fourth proportional to 13,551.98, 20,335.73 and 7,311.96 is: 10,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551.98 : 20,335.73 = 7,311.96 : x
  2. Step 2: Convert to fraction form
    13,551.98/20,335.73 = 7,311.96/x
  3. Step 3: Cross multiply
    13,551.98x = 20,335.73 × 7,311.96
  4. Step 4: Simplify right side
    13,551.98x = 148,694,007.77
  5. Step 5: Solve for x
    x = 148,694,007.77/13,551.98
  6. Step 6: Final answer
    x = 10,972.13

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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.