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Finding the Fourth Proportional to 21,811.86, 30,098.12 and 12,252.82

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Solution

The fourth proportional to 21,811.86, 30,098.12 and 12,252.82 is: 16,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.86 : 30,098.12 = 12,252.82 : x
  2. Step 2: Convert to fraction form
    21,811.86/30,098.12 = 12,252.82/x
  3. Step 3: Cross multiply
    21,811.86x = 30,098.12 × 12,252.82
  4. Step 4: Simplify right side
    21,811.86x = 368,786,846.70
  5. Step 5: Solve for x
    x = 368,786,846.70/21,811.86
  6. Step 6: Final answer
    x = 16,907.63

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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.