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Finding the Fourth Proportional to 27,880, 41,826.48 and 9,412

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Solution

The fourth proportional to 27,880, 41,826.48 and 9,412 is: 14,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,880 : 41,826.48 = 9,412 : x
  2. Step 2: Convert to fraction form
    27,880/41,826.48 = 9,412/x
  3. Step 3: Cross multiply
    27,880x = 41,826.48 × 9,412
  4. Step 4: Simplify right side
    27,880x = 393,670,829.76
  5. Step 5: Solve for x
    x = 393,670,829.76/27,880
  6. Step 6: Final answer
    x = 14,120.19

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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.