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Finding the Fourth Proportional to 13,914.38, 20,870.64 and 6,520.49

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Solution

The fourth proportional to 13,914.38, 20,870.64 and 6,520.49 is: 9,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.38 : 20,870.64 = 6,520.49 : x
  2. Step 2: Convert to fraction form
    13,914.38/20,870.64 = 6,520.49/x
  3. Step 3: Cross multiply
    13,914.38x = 20,870.64 × 6,520.49
  4. Step 4: Simplify right side
    13,914.38x = 136,086,695.06
  5. Step 5: Solve for x
    x = 136,086,695.06/13,914.38
  6. Step 6: Final answer
    x = 9,780.30

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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.