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Finding the Fourth Proportional to 27,790.96, 41,686.48 and 10,253.64

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Solution

The fourth proportional to 27,790.96, 41,686.48 and 10,253.64 is: 15,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.96 : 41,686.48 = 10,253.64 : x
  2. Step 2: Convert to fraction form
    27,790.96/41,686.48 = 10,253.64/x
  3. Step 3: Cross multiply
    27,790.96x = 41,686.48 × 10,253.64
  4. Step 4: Simplify right side
    27,790.96x = 427,438,158.79
  5. Step 5: Solve for x
    x = 427,438,158.79/27,790.96
  6. Step 6: Final answer
    x = 15,380.47

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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.