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Finding the Fourth Proportional to 13,448.16, 20,172.24 and 4,088.16

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Solution

The fourth proportional to 13,448.16, 20,172.24 and 4,088.16 is: 6,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,448.16 : 20,172.24 = 4,088.16 : x
  2. Step 2: Convert to fraction form
    13,448.16/20,172.24 = 4,088.16/x
  3. Step 3: Cross multiply
    13,448.16x = 20,172.24 × 4,088.16
  4. Step 4: Simplify right side
    13,448.16x = 82,467,344.68
  5. Step 5: Solve for x
    x = 82,467,344.68/13,448.16
  6. Step 6: Final answer
    x = 6,132.24

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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.