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Finding the Fourth Proportional to 13,957.46, 20,914.31 and 11,868.87

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Solution

The fourth proportional to 13,957.46, 20,914.31 and 11,868.87 is: 17,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.46 : 20,914.31 = 11,868.87 : x
  2. Step 2: Convert to fraction form
    13,957.46/20,914.31 = 11,868.87/x
  3. Step 3: Cross multiply
    13,957.46x = 20,914.31 × 11,868.87
  4. Step 4: Simplify right side
    13,957.46x = 248,229,256.20
  5. Step 5: Solve for x
    x = 248,229,256.20/13,957.46
  6. Step 6: Final answer
    x = 17,784.71

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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.