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Finding the Fourth Proportional to 21,299.70, 31,955.07 and 10,214.94

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Solution

The fourth proportional to 21,299.70, 31,955.07 and 10,214.94 is: 15,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,299.70 : 31,955.07 = 10,214.94 : x
  2. Step 2: Convert to fraction form
    21,299.70/31,955.07 = 10,214.94/x
  3. Step 3: Cross multiply
    21,299.70x = 31,955.07 × 10,214.94
  4. Step 4: Simplify right side
    21,299.70x = 326,419,122.75
  5. Step 5: Solve for x
    x = 326,419,122.75/21,299.70
  6. Step 6: Final answer
    x = 15,325.06

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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.