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Finding the Fourth Proportional to 27,057.17, 40,584.24 and 9,525.53

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Solution

The fourth proportional to 27,057.17, 40,584.24 and 9,525.53 is: 14,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.17 : 40,584.24 = 9,525.53 : x
  2. Step 2: Convert to fraction form
    27,057.17/40,584.24 = 9,525.53/x
  3. Step 3: Cross multiply
    27,057.17x = 40,584.24 × 9,525.53
  4. Step 4: Simplify right side
    27,057.17x = 386,586,497.11
  5. Step 5: Solve for x
    x = 386,586,497.11/27,057.17
  6. Step 6: Final answer
    x = 14,287.76

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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.