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Finding the Fourth Proportional to 21,731.86, 29,990.68 and 12,300.22

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Solution

The fourth proportional to 21,731.86, 29,990.68 and 12,300.22 is: 16,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731.86 : 29,990.68 = 12,300.22 : x
  2. Step 2: Convert to fraction form
    21,731.86/29,990.68 = 12,300.22/x
  3. Step 3: Cross multiply
    21,731.86x = 29,990.68 × 12,300.22
  4. Step 4: Simplify right side
    21,731.86x = 368,891,961.95
  5. Step 5: Solve for x
    x = 368,891,961.95/21,731.86
  6. Step 6: Final answer
    x = 16,974.71

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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.