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Finding the Fourth Proportional to 27,423.75, 41,135.85 and 6,647.25

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Solution

The fourth proportional to 27,423.75, 41,135.85 and 6,647.25 is: 9,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.75 : 41,135.85 = 6,647.25 : x
  2. Step 2: Convert to fraction form
    27,423.75/41,135.85 = 6,647.25/x
  3. Step 3: Cross multiply
    27,423.75x = 41,135.85 × 6,647.25
  4. Step 4: Simplify right side
    27,423.75x = 273,440,278.91
  5. Step 5: Solve for x
    x = 273,440,278.91/27,423.75
  6. Step 6: Final answer
    x = 9,970.93

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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.