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Finding the Fourth Proportional to 28,955.24, 43,434.54 and 8,177

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Solution

The fourth proportional to 28,955.24, 43,434.54 and 8,177 is: 12,265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,955.24 : 43,434.54 = 8,177 : x
  2. Step 2: Convert to fraction form
    28,955.24/43,434.54 = 8,177/x
  3. Step 3: Cross multiply
    28,955.24x = 43,434.54 × 8,177
  4. Step 4: Simplify right side
    28,955.24x = 355,164,233.58
  5. Step 5: Solve for x
    x = 355,164,233.58/28,955.24
  6. Step 6: Final answer
    x = 12,265.97

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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.