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Finding the Fourth Proportional to 21,255.48, 31,884.53 and 6,465.49

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Solution

The fourth proportional to 21,255.48, 31,884.53 and 6,465.49 is: 9,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.48 : 31,884.53 = 6,465.49 : x
  2. Step 2: Convert to fraction form
    21,255.48/31,884.53 = 6,465.49/x
  3. Step 3: Cross multiply
    21,255.48x = 31,884.53 × 6,465.49
  4. Step 4: Simplify right side
    21,255.48x = 206,148,997.83
  5. Step 5: Solve for x
    x = 206,148,997.83/21,255.48
  6. Step 6: Final answer
    x = 9,698.63

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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.