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Finding the Fourth Proportional to 27,884.25, 41,798.70 and 15,410.15

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Solution

The fourth proportional to 27,884.25, 41,798.70 and 15,410.15 is: 23,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.25 : 41,798.70 = 15,410.15 : x
  2. Step 2: Convert to fraction form
    27,884.25/41,798.70 = 15,410.15/x
  3. Step 3: Cross multiply
    27,884.25x = 41,798.70 × 15,410.15
  4. Step 4: Simplify right side
    27,884.25x = 644,124,119.55
  5. Step 5: Solve for x
    x = 644,124,119.55/27,884.25
  6. Step 6: Final answer
    x = 23,099.93

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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.