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Finding the Fourth Proportional to 13,682.64, 20,515.76 and 6,648.81

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Solution

The fourth proportional to 13,682.64, 20,515.76 and 6,648.81 is: 9,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.64 : 20,515.76 = 6,648.81 : x
  2. Step 2: Convert to fraction form
    13,682.64/20,515.76 = 6,648.81/x
  3. Step 3: Cross multiply
    13,682.64x = 20,515.76 × 6,648.81
  4. Step 4: Simplify right side
    13,682.64x = 136,405,390.25
  5. Step 5: Solve for x
    x = 136,405,390.25/13,682.64
  6. Step 6: Final answer
    x = 9,969.23

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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.