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Finding the Fourth Proportional to 21,145.92, 29,178.78 and 12,196.32

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Solution

The fourth proportional to 21,145.92, 29,178.78 and 12,196.32 is: 16,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.92 : 29,178.78 = 12,196.32 : x
  2. Step 2: Convert to fraction form
    21,145.92/29,178.78 = 12,196.32/x
  3. Step 3: Cross multiply
    21,145.92x = 29,178.78 × 12,196.32
  4. Step 4: Simplify right side
    21,145.92x = 355,873,738.09
  5. Step 5: Solve for x
    x = 355,873,738.09/21,145.92
  6. Step 6: Final answer
    x = 16,829.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.