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Finding the Fourth Proportional to 13,316.38, 18,378.42 and 7,727.38

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Solution

The fourth proportional to 13,316.38, 18,378.42 and 7,727.38 is: 10,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,316.38 : 18,378.42 = 7,727.38 : x
  2. Step 2: Convert to fraction form
    13,316.38/18,378.42 = 7,727.38/x
  3. Step 3: Cross multiply
    13,316.38x = 18,378.42 × 7,727.38
  4. Step 4: Simplify right side
    13,316.38x = 142,017,035.14
  5. Step 5: Solve for x
    x = 142,017,035.14/13,316.38
  6. Step 6: Final answer
    x = 10,664.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.