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Finding the Fourth Proportional to 13,482.96, 20,243.12 and 6,913.68

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Solution

The fourth proportional to 13,482.96, 20,243.12 and 6,913.68 is: 10,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.96 : 20,243.12 = 6,913.68 : x
  2. Step 2: Convert to fraction form
    13,482.96/20,243.12 = 6,913.68/x
  3. Step 3: Cross multiply
    13,482.96x = 20,243.12 × 6,913.68
  4. Step 4: Simplify right side
    13,482.96x = 139,954,453.88
  5. Step 5: Solve for x
    x = 139,954,453.88/13,482.96
  6. Step 6: Final answer
    x = 10,380.10

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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.