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Finding the Fourth Proportional to 23,250, 34,890.36 and 10,938.96

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Solution

The fourth proportional to 23,250, 34,890.36 and 10,938.96 is: 16,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,250 : 34,890.36 = 10,938.96 : x
  2. Step 2: Convert to fraction form
    23,250/34,890.36 = 10,938.96/x
  3. Step 3: Cross multiply
    23,250x = 34,890.36 × 10,938.96
  4. Step 4: Simplify right side
    23,250x = 381,664,252.43
  5. Step 5: Solve for x
    x = 381,664,252.43/23,250
  6. Step 6: Final answer
    x = 16,415.67

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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.