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Finding the Fourth Proportional to 21,509.78, 32,249.92 and 10,959.38

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Solution

The fourth proportional to 21,509.78, 32,249.92 and 10,959.38 is: 16,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.78 : 32,249.92 = 10,959.38 : x
  2. Step 2: Convert to fraction form
    21,509.78/32,249.92 = 10,959.38/x
  3. Step 3: Cross multiply
    21,509.78x = 32,249.92 × 10,959.38
  4. Step 4: Simplify right side
    21,509.78x = 353,439,128.25
  5. Step 5: Solve for x
    x = 353,439,128.25/21,509.78
  6. Step 6: Final answer
    x = 16,431.55

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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.