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Finding the Fourth Proportional to 27,878.46, 41,825.40 and 11,234.58

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Solution

The fourth proportional to 27,878.46, 41,825.40 and 11,234.58 is: 16,854.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.46 : 41,825.40 = 11,234.58 : x
  2. Step 2: Convert to fraction form
    27,878.46/41,825.40 = 11,234.58/x
  3. Step 3: Cross multiply
    27,878.46x = 41,825.40 × 11,234.58
  4. Step 4: Simplify right side
    27,878.46x = 469,890,802.33
  5. Step 5: Solve for x
    x = 469,890,802.33/27,878.46
  6. Step 6: Final answer
    x = 16,854.98

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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.