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Finding the Fourth Proportional to 27,141.80, 37,455.48 and 15,205.24

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Solution

The fourth proportional to 27,141.80, 37,455.48 and 15,205.24 is: 20,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.80 : 37,455.48 = 15,205.24 : x
  2. Step 2: Convert to fraction form
    27,141.80/37,455.48 = 15,205.24/x
  3. Step 3: Cross multiply
    27,141.80x = 37,455.48 × 15,205.24
  4. Step 4: Simplify right side
    27,141.80x = 569,519,562.72
  5. Step 5: Solve for x
    x = 569,519,562.72/27,141.80
  6. Step 6: Final answer
    x = 20,983.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.