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Finding the Fourth Proportional to 26,975.12, 40,481 and 9,444.88

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Solution

The fourth proportional to 26,975.12, 40,481 and 9,444.88 is: 14,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975.12 : 40,481 = 9,444.88 : x
  2. Step 2: Convert to fraction form
    26,975.12/40,481 = 9,444.88/x
  3. Step 3: Cross multiply
    26,975.12x = 40,481 × 9,444.88
  4. Step 4: Simplify right side
    26,975.12x = 382,338,187.28
  5. Step 5: Solve for x
    x = 382,338,187.28/26,975.12
  6. Step 6: Final answer
    x = 14,173.73

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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.