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Finding the Fourth Proportional to 21,306.72, 31,940.64 and 7,448.16

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Solution

The fourth proportional to 21,306.72, 31,940.64 and 7,448.16 is: 11,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,306.72 : 31,940.64 = 7,448.16 : x
  2. Step 2: Convert to fraction form
    21,306.72/31,940.64 = 7,448.16/x
  3. Step 3: Cross multiply
    21,306.72x = 31,940.64 × 7,448.16
  4. Step 4: Simplify right side
    21,306.72x = 237,898,997.22
  5. Step 5: Solve for x
    x = 237,898,997.22/21,306.72
  6. Step 6: Final answer
    x = 11,165.44

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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.