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Finding the Fourth Proportional to 27,022.80, 40,538.24 and 9,489.52

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Solution

The fourth proportional to 27,022.80, 40,538.24 and 9,489.52 is: 14,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022.80 : 40,538.24 = 9,489.52 : x
  2. Step 2: Convert to fraction form
    27,022.80/40,538.24 = 9,489.52/x
  3. Step 3: Cross multiply
    27,022.80x = 40,538.24 × 9,489.52
  4. Step 4: Simplify right side
    27,022.80x = 384,688,439.24
  5. Step 5: Solve for x
    x = 384,688,439.24/27,022.80
  6. Step 6: Final answer
    x = 14,235.70

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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.