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Finding the Fourth Proportional to 13,516.25, 20,219.29 and 11,423.21

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Solution

The fourth proportional to 13,516.25, 20,219.29 and 11,423.21 is: 17,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.25 : 20,219.29 = 11,423.21 : x
  2. Step 2: Convert to fraction form
    13,516.25/20,219.29 = 11,423.21/x
  3. Step 3: Cross multiply
    13,516.25x = 20,219.29 × 11,423.21
  4. Step 4: Simplify right side
    13,516.25x = 230,969,066.07
  5. Step 5: Solve for x
    x = 230,969,066.07/13,516.25
  6. Step 6: Final answer
    x = 17,088.26

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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.