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Finding the Fourth Proportional to 27,765.96, 38,319 and 18,318.12

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Solution

The fourth proportional to 27,765.96, 38,319 and 18,318.12 is: 25,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.96 : 38,319 = 18,318.12 : x
  2. Step 2: Convert to fraction form
    27,765.96/38,319 = 18,318.12/x
  3. Step 3: Cross multiply
    27,765.96x = 38,319 × 18,318.12
  4. Step 4: Simplify right side
    27,765.96x = 701,932,040.28
  5. Step 5: Solve for x
    x = 701,932,040.28/27,765.96
  6. Step 6: Final answer
    x = 25,280.31

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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.