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Finding the Fourth Proportional to 13,950.96, 20,930.08 and 8,102.54

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Solution

The fourth proportional to 13,950.96, 20,930.08 and 8,102.54 is: 12,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.96 : 20,930.08 = 8,102.54 : x
  2. Step 2: Convert to fraction form
    13,950.96/20,930.08 = 8,102.54/x
  3. Step 3: Cross multiply
    13,950.96x = 20,930.08 × 8,102.54
  4. Step 4: Simplify right side
    13,950.96x = 169,586,810.40
  5. Step 5: Solve for x
    x = 169,586,810.40/13,950.96
  6. Step 6: Final answer
    x = 12,155.92

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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.