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Finding the Fourth Proportional to 15,912.64, 21,958.40 and 9,944

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Solution

The fourth proportional to 15,912.64, 21,958.40 and 9,944 is: 13,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.64 : 21,958.40 = 9,944 : x
  2. Step 2: Convert to fraction form
    15,912.64/21,958.40 = 9,944/x
  3. Step 3: Cross multiply
    15,912.64x = 21,958.40 × 9,944
  4. Step 4: Simplify right side
    15,912.64x = 218,354,329.60
  5. Step 5: Solve for x
    x = 218,354,329.60/15,912.64
  6. Step 6: Final answer
    x = 13,722.07

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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.