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Finding the Fourth Proportional to 14,644.25, 21,971.46 and 10,645.38

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Solution

The fourth proportional to 14,644.25, 21,971.46 and 10,645.38 is: 15,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.25 : 21,971.46 = 10,645.38 : x
  2. Step 2: Convert to fraction form
    14,644.25/21,971.46 = 10,645.38/x
  3. Step 3: Cross multiply
    14,644.25x = 21,971.46 × 10,645.38
  4. Step 4: Simplify right side
    14,644.25x = 233,894,540.85
  5. Step 5: Solve for x
    x = 233,894,540.85/14,644.25
  6. Step 6: Final answer
    x = 15,971.77

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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.