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Finding the Fourth Proportional to 13,972.58, 20,957.16 and 3,977.54

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Solution

The fourth proportional to 13,972.58, 20,957.16 and 3,977.54 is: 5,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.58 : 20,957.16 = 3,977.54 : x
  2. Step 2: Convert to fraction form
    13,972.58/20,957.16 = 3,977.54/x
  3. Step 3: Cross multiply
    13,972.58x = 20,957.16 × 3,977.54
  4. Step 4: Simplify right side
    13,972.58x = 83,357,942.19
  5. Step 5: Solve for x
    x = 83,357,942.19/13,972.58
  6. Step 6: Final answer
    x = 5,965.82

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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.