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Finding the Fourth Proportional to 13,578.56, 20,361.12 and 4,812.16

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Solution

The fourth proportional to 13,578.56, 20,361.12 and 4,812.16 is: 7,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.56 : 20,361.12 = 4,812.16 : x
  2. Step 2: Convert to fraction form
    13,578.56/20,361.12 = 4,812.16/x
  3. Step 3: Cross multiply
    13,578.56x = 20,361.12 × 4,812.16
  4. Step 4: Simplify right side
    13,578.56x = 97,980,967.22
  5. Step 5: Solve for x
    x = 97,980,967.22/13,578.56
  6. Step 6: Final answer
    x = 7,215.86

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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.