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Finding the Fourth Proportional to 27,856.90, 41,822.43 and 16,178.50

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Solution

The fourth proportional to 27,856.90, 41,822.43 and 16,178.50 is: 24,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.90 : 41,822.43 = 16,178.50 : x
  2. Step 2: Convert to fraction form
    27,856.90/41,822.43 = 16,178.50/x
  3. Step 3: Cross multiply
    27,856.90x = 41,822.43 × 16,178.50
  4. Step 4: Simplify right side
    27,856.90x = 676,624,183.76
  5. Step 5: Solve for x
    x = 676,624,183.76/27,856.90
  6. Step 6: Final answer
    x = 24,289.29

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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.