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Finding the Fourth Proportional to 27,647.68, 41,472.60 and 6,871.72

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Solution

The fourth proportional to 27,647.68, 41,472.60 and 6,871.72 is: 10,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.68 : 41,472.60 = 6,871.72 : x
  2. Step 2: Convert to fraction form
    27,647.68/41,472.60 = 6,871.72/x
  3. Step 3: Cross multiply
    27,647.68x = 41,472.60 × 6,871.72
  4. Step 4: Simplify right side
    27,647.68x = 284,988,094.87
  5. Step 5: Solve for x
    x = 284,988,094.87/27,647.68
  6. Step 6: Final answer
    x = 10,307.85

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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.