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Finding the Fourth Proportional to 13,477.16, 20,217.12 and 5,161.10

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Solution

The fourth proportional to 13,477.16, 20,217.12 and 5,161.10 is: 7,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.16 : 20,217.12 = 5,161.10 : x
  2. Step 2: Convert to fraction form
    13,477.16/20,217.12 = 5,161.10/x
  3. Step 3: Cross multiply
    13,477.16x = 20,217.12 × 5,161.10
  4. Step 4: Simplify right side
    13,477.16x = 104,342,578.03
  5. Step 5: Solve for x
    x = 104,342,578.03/13,477.16
  6. Step 6: Final answer
    x = 7,742.18

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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.