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Finding the Fourth Proportional to 17,731.38, 26,606.38 and 7,877.72

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Solution

The fourth proportional to 17,731.38, 26,606.38 and 7,877.72 is: 11,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.38 : 26,606.38 = 7,877.72 : x
  2. Step 2: Convert to fraction form
    17,731.38/26,606.38 = 7,877.72/x
  3. Step 3: Cross multiply
    17,731.38x = 26,606.38 × 7,877.72
  4. Step 4: Simplify right side
    17,731.38x = 209,597,611.85
  5. Step 5: Solve for x
    x = 209,597,611.85/17,731.38
  6. Step 6: Final answer
    x = 11,820.72

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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.