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Finding the Fourth Proportional to 13,984.20, 20,933.10 and 8,123.40

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Solution

The fourth proportional to 13,984.20, 20,933.10 and 8,123.40 is: 12,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.20 : 20,933.10 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    13,984.20/20,933.10 = 8,123.40/x
  3. Step 3: Cross multiply
    13,984.20x = 20,933.10 × 8,123.40
  4. Step 4: Simplify right side
    13,984.20x = 170,047,944.54
  5. Step 5: Solve for x
    x = 170,047,944.54/13,984.20
  6. Step 6: Final answer
    x = 12,160.01

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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.