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Finding the Fourth Proportional to 21,144.36, 31,722.30 and 7,295.40

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Solution

The fourth proportional to 21,144.36, 31,722.30 and 7,295.40 is: 10,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.36 : 31,722.30 = 7,295.40 : x
  2. Step 2: Convert to fraction form
    21,144.36/31,722.30 = 7,295.40/x
  3. Step 3: Cross multiply
    21,144.36x = 31,722.30 × 7,295.40
  4. Step 4: Simplify right side
    21,144.36x = 231,426,867.42
  5. Step 5: Solve for x
    x = 231,426,867.42/21,144.36
  6. Step 6: Final answer
    x = 10,945.09

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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.