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Finding the Fourth Proportional to 15,890.40, 21,914.43 and 9,922.68

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Solution

The fourth proportional to 15,890.40, 21,914.43 and 9,922.68 is: 13,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.40 : 21,914.43 = 9,922.68 : x
  2. Step 2: Convert to fraction form
    15,890.40/21,914.43 = 9,922.68/x
  3. Step 3: Cross multiply
    15,890.40x = 21,914.43 × 9,922.68
  4. Step 4: Simplify right side
    15,890.40x = 217,449,876.27
  5. Step 5: Solve for x
    x = 217,449,876.27/15,890.40
  6. Step 6: Final answer
    x = 13,684.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.