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Finding the Fourth Proportional to 13,929.20, 20,912.34 and 8,090

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Solution

The fourth proportional to 13,929.20, 20,912.34 and 8,090 is: 12,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.20 : 20,912.34 = 8,090 : x
  2. Step 2: Convert to fraction form
    13,929.20/20,912.34 = 8,090/x
  3. Step 3: Cross multiply
    13,929.20x = 20,912.34 × 8,090
  4. Step 4: Simplify right side
    13,929.20x = 169,180,830.60
  5. Step 5: Solve for x
    x = 169,180,830.60/13,929.20
  6. Step 6: Final answer
    x = 12,145.77

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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.