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Finding the Fourth Proportional to 21,152.39, 29,193.36 and 12,198.11

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Solution

The fourth proportional to 21,152.39, 29,193.36 and 12,198.11 is: 16,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.39 : 29,193.36 = 12,198.11 : x
  2. Step 2: Convert to fraction form
    21,152.39/29,193.36 = 12,198.11/x
  3. Step 3: Cross multiply
    21,152.39x = 29,193.36 × 12,198.11
  4. Step 4: Simplify right side
    21,152.39x = 356,103,816.55
  5. Step 5: Solve for x
    x = 356,103,816.55/21,152.39
  6. Step 6: Final answer
    x = 16,835.16

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Why These Related Problems?

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