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Finding the Fourth Proportional to 13,890.77, 20,829.67 and 8,049.05

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Solution

The fourth proportional to 13,890.77, 20,829.67 and 8,049.05 is: 12,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890.77 : 20,829.67 = 8,049.05 : x
  2. Step 2: Convert to fraction form
    13,890.77/20,829.67 = 8,049.05/x
  3. Step 3: Cross multiply
    13,890.77x = 20,829.67 × 8,049.05
  4. Step 4: Simplify right side
    13,890.77x = 167,658,931.04
  5. Step 5: Solve for x
    x = 167,658,931.04/13,890.77
  6. Step 6: Final answer
    x = 12,069.81

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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.