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Finding the Fourth Proportional to 22,644.95, 33,971.69 and 10,164.67

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Solution

The fourth proportional to 22,644.95, 33,971.69 and 10,164.67 is: 15,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.95 : 33,971.69 = 10,164.67 : x
  2. Step 2: Convert to fraction form
    22,644.95/33,971.69 = 10,164.67/x
  3. Step 3: Cross multiply
    22,644.95x = 33,971.69 × 10,164.67
  4. Step 4: Simplify right side
    22,644.95x = 345,310,958.67
  5. Step 5: Solve for x
    x = 345,310,958.67/22,644.95
  6. Step 6: Final answer
    x = 15,248.92

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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.