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Finding the Fourth Proportional to 27,641.86, 41,423.15 and 15,771.00

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Solution

The fourth proportional to 27,641.86, 41,423.15 and 15,771.00 is: 23,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.86 : 41,423.15 = 15,771.00 : x
  2. Step 2: Convert to fraction form
    27,641.86/41,423.15 = 15,771.00/x
  3. Step 3: Cross multiply
    27,641.86x = 41,423.15 × 15,771.00
  4. Step 4: Simplify right side
    27,641.86x = 653,284,604.70
  5. Step 5: Solve for x
    x = 653,284,604.70/27,641.86
  6. Step 6: Final answer
    x = 23,633.89

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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.