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Finding the Fourth Proportional to 13,361.32, 20,038.72 and 7,115.68

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Solution

The fourth proportional to 13,361.32, 20,038.72 and 7,115.68 is: 10,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.32 : 20,038.72 = 7,115.68 : x
  2. Step 2: Convert to fraction form
    13,361.32/20,038.72 = 7,115.68/x
  3. Step 3: Cross multiply
    13,361.32x = 20,038.72 × 7,115.68
  4. Step 4: Simplify right side
    13,361.32x = 142,589,119.13
  5. Step 5: Solve for x
    x = 142,589,119.13/13,361.32
  6. Step 6: Final answer
    x = 10,671.78

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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.