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Finding the Fourth Proportional to 21,638.36, 32,462.82 and 12,761.16

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Solution

The fourth proportional to 21,638.36, 32,462.82 and 12,761.16 is: 19,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.36 : 32,462.82 = 12,761.16 : x
  2. Step 2: Convert to fraction form
    21,638.36/32,462.82 = 12,761.16/x
  3. Step 3: Cross multiply
    21,638.36x = 32,462.82 × 12,761.16
  4. Step 4: Simplify right side
    21,638.36x = 414,263,240.07
  5. Step 5: Solve for x
    x = 414,263,240.07/21,638.36
  6. Step 6: Final answer
    x = 19,144.86

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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.