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Finding the Fourth Proportional to 21,829.92, 32,745.11 and 17,475.06

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Solution

The fourth proportional to 21,829.92, 32,745.11 and 17,475.06 is: 26,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.92 : 32,745.11 = 17,475.06 : x
  2. Step 2: Convert to fraction form
    21,829.92/32,745.11 = 17,475.06/x
  3. Step 3: Cross multiply
    21,829.92x = 32,745.11 × 17,475.06
  4. Step 4: Simplify right side
    21,829.92x = 572,222,761.96
  5. Step 5: Solve for x
    x = 572,222,761.96/21,829.92
  6. Step 6: Final answer
    x = 26,212.77

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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.