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Finding the Fourth Proportional to 21,278.52, 31,917.78 and 7,431.48

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Solution

The fourth proportional to 21,278.52, 31,917.78 and 7,431.48 is: 11,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278.52 : 31,917.78 = 7,431.48 : x
  2. Step 2: Convert to fraction form
    21,278.52/31,917.78 = 7,431.48/x
  3. Step 3: Cross multiply
    21,278.52x = 31,917.78 × 7,431.48
  4. Step 4: Simplify right side
    21,278.52x = 237,196,343.71
  5. Step 5: Solve for x
    x = 237,196,343.71/21,278.52
  6. Step 6: Final answer
    x = 11,147.22

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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.