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Finding the Fourth Proportional to 19,928.96, 29,893.12 and 6,790.48

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Solution

The fourth proportional to 19,928.96, 29,893.12 and 6,790.48 is: 10,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,928.96 : 29,893.12 = 6,790.48 : x
  2. Step 2: Convert to fraction form
    19,928.96/29,893.12 = 6,790.48/x
  3. Step 3: Cross multiply
    19,928.96x = 29,893.12 × 6,790.48
  4. Step 4: Simplify right side
    19,928.96x = 202,988,633.50
  5. Step 5: Solve for x
    x = 202,988,633.50/19,928.96
  6. Step 6: Final answer
    x = 10,185.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.