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Finding the Fourth Proportional to 21,243.88, 31,864.86 and 6,452.68

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Solution

The fourth proportional to 21,243.88, 31,864.86 and 6,452.68 is: 9,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.88 : 31,864.86 = 6,452.68 : x
  2. Step 2: Convert to fraction form
    21,243.88/31,864.86 = 6,452.68/x
  3. Step 3: Cross multiply
    21,243.88x = 31,864.86 × 6,452.68
  4. Step 4: Simplify right side
    21,243.88x = 205,613,744.82
  5. Step 5: Solve for x
    x = 205,613,744.82/21,243.88
  6. Step 6: Final answer
    x = 9,678.73

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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.