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Finding the Fourth Proportional to 13,643.10, 20,460.60 and 5,318.33

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Solution

The fourth proportional to 13,643.10, 20,460.60 and 5,318.33 is: 7,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.10 : 20,460.60 = 5,318.33 : x
  2. Step 2: Convert to fraction form
    13,643.10/20,460.60 = 5,318.33/x
  3. Step 3: Cross multiply
    13,643.10x = 20,460.60 × 5,318.33
  4. Step 4: Simplify right side
    13,643.10x = 108,816,120.50
  5. Step 5: Solve for x
    x = 108,816,120.50/13,643.10
  6. Step 6: Final answer
    x = 7,975.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.