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Finding the Fourth Proportional to 13,685.64, 20,520.26 and 6,651.81

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Solution

The fourth proportional to 13,685.64, 20,520.26 and 6,651.81 is: 9,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.64 : 20,520.26 = 6,651.81 : x
  2. Step 2: Convert to fraction form
    13,685.64/20,520.26 = 6,651.81/x
  3. Step 3: Cross multiply
    13,685.64x = 20,520.26 × 6,651.81
  4. Step 4: Simplify right side
    13,685.64x = 136,496,870.67
  5. Step 5: Solve for x
    x = 136,496,870.67/13,685.64
  6. Step 6: Final answer
    x = 9,973.73

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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.