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Finding the Fourth Proportional to 17,827.36, 26,747.36 and 7,965.76

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Solution

The fourth proportional to 17,827.36, 26,747.36 and 7,965.76 is: 11,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.36 : 26,747.36 = 7,965.76 : x
  2. Step 2: Convert to fraction form
    17,827.36/26,747.36 = 7,965.76/x
  3. Step 3: Cross multiply
    17,827.36x = 26,747.36 × 7,965.76
  4. Step 4: Simplify right side
    17,827.36x = 213,063,050.39
  5. Step 5: Solve for x
    x = 213,063,050.39/17,827.36
  6. Step 6: Final answer
    x = 11,951.46

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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.