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Finding the Fourth Proportional to 13,740.90, 20,604.40 and 9,789.90

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Solution

The fourth proportional to 13,740.90, 20,604.40 and 9,789.90 is: 14,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.90 : 20,604.40 = 9,789.90 : x
  2. Step 2: Convert to fraction form
    13,740.90/20,604.40 = 9,789.90/x
  3. Step 3: Cross multiply
    13,740.90x = 20,604.40 × 9,789.90
  4. Step 4: Simplify right side
    13,740.90x = 201,715,015.56
  5. Step 5: Solve for x
    x = 201,715,015.56/13,740.90
  6. Step 6: Final answer
    x = 14,679.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.