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Finding the Fourth Proportional to 27,423.58, 41,111.29 and 13,184.94

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Solution

The fourth proportional to 27,423.58, 41,111.29 and 13,184.94 is: 19,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.58 : 41,111.29 = 13,184.94 : x
  2. Step 2: Convert to fraction form
    27,423.58/41,111.29 = 13,184.94/x
  3. Step 3: Cross multiply
    27,423.58x = 41,111.29 × 13,184.94
  4. Step 4: Simplify right side
    27,423.58x = 542,049,891.97
  5. Step 5: Solve for x
    x = 542,049,891.97/27,423.58
  6. Step 6: Final answer
    x = 19,765.83

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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.