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Finding the Fourth Proportional to 27,057.66, 40,582.69 and 9,288.03

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Solution

The fourth proportional to 27,057.66, 40,582.69 and 9,288.03 is: 13,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.66 : 40,582.69 = 9,288.03 : x
  2. Step 2: Convert to fraction form
    27,057.66/40,582.69 = 9,288.03/x
  3. Step 3: Cross multiply
    27,057.66x = 40,582.69 × 9,288.03
  4. Step 4: Simplify right side
    27,057.66x = 376,933,242.20
  5. Step 5: Solve for x
    x = 376,933,242.20/27,057.66
  6. Step 6: Final answer
    x = 13,930.74

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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.