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Finding the Fourth Proportional to 27,478.50, 41,208.60 and 10,834.20

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Solution

The fourth proportional to 27,478.50, 41,208.60 and 10,834.20 is: 16,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.50 : 41,208.60 = 10,834.20 : x
  2. Step 2: Convert to fraction form
    27,478.50/41,208.60 = 10,834.20/x
  3. Step 3: Cross multiply
    27,478.50x = 41,208.60 × 10,834.20
  4. Step 4: Simplify right side
    27,478.50x = 446,462,214.12
  5. Step 5: Solve for x
    x = 446,462,214.12/27,478.50
  6. Step 6: Final answer
    x = 16,247.69

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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.