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Finding the Fourth Proportional to 13,628.64, 20,435.76 and 10,297.92

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Solution

The fourth proportional to 13,628.64, 20,435.76 and 10,297.92 is: 15,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.64 : 20,435.76 = 10,297.92 : x
  2. Step 2: Convert to fraction form
    13,628.64/20,435.76 = 10,297.92/x
  3. Step 3: Cross multiply
    13,628.64x = 20,435.76 × 10,297.92
  4. Step 4: Simplify right side
    13,628.64x = 210,445,821.62
  5. Step 5: Solve for x
    x = 210,445,821.62/13,628.64
  6. Step 6: Final answer
    x = 15,441.44

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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.