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Finding the Fourth Proportional to 21,636.19, 29,857.02 and 12,205.63

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Solution

The fourth proportional to 21,636.19, 29,857.02 and 12,205.63 is: 16,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636.19 : 29,857.02 = 12,205.63 : x
  2. Step 2: Convert to fraction form
    21,636.19/29,857.02 = 12,205.63/x
  3. Step 3: Cross multiply
    21,636.19x = 29,857.02 × 12,205.63
  4. Step 4: Simplify right side
    21,636.19x = 364,423,739.02
  5. Step 5: Solve for x
    x = 364,423,739.02/21,636.19
  6. Step 6: Final answer
    x = 16,843.25

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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.