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Finding the Fourth Proportional to 27,857.40, 41,823.18 and 16,179

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Solution

The fourth proportional to 27,857.40, 41,823.18 and 16,179 is: 24,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.40 : 41,823.18 = 16,179 : x
  2. Step 2: Convert to fraction form
    27,857.40/41,823.18 = 16,179/x
  3. Step 3: Cross multiply
    27,857.40x = 41,823.18 × 16,179
  4. Step 4: Simplify right side
    27,857.40x = 676,657,229.22
  5. Step 5: Solve for x
    x = 676,657,229.22/27,857.40
  6. Step 6: Final answer
    x = 24,290.04

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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.