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Finding the Fourth Proportional to 21,137.80, 29,168.14 and 12,638.24

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Solution

The fourth proportional to 21,137.80, 29,168.14 and 12,638.24 is: 17,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.80 : 29,168.14 = 12,638.24 : x
  2. Step 2: Convert to fraction form
    21,137.80/29,168.14 = 12,638.24/x
  3. Step 3: Cross multiply
    21,137.80x = 29,168.14 × 12,638.24
  4. Step 4: Simplify right side
    21,137.80x = 368,633,953.67
  5. Step 5: Solve for x
    x = 368,633,953.67/21,137.80
  6. Step 6: Final answer
    x = 17,439.56

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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.