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Finding the Fourth Proportional to 23,087.76, 34,635.96 and 9,237.84

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Solution

The fourth proportional to 23,087.76, 34,635.96 and 9,237.84 is: 13,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,087.76 : 34,635.96 = 9,237.84 : x
  2. Step 2: Convert to fraction form
    23,087.76/34,635.96 = 9,237.84/x
  3. Step 3: Cross multiply
    23,087.76x = 34,635.96 × 9,237.84
  4. Step 4: Simplify right side
    23,087.76x = 319,961,456.73
  5. Step 5: Solve for x
    x = 319,961,456.73/23,087.76
  6. Step 6: Final answer
    x = 13,858.49

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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.