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Finding the Fourth Proportional to 21,753.32, 30,021.70 and 12,194.83

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Solution

The fourth proportional to 21,753.32, 30,021.70 and 12,194.83 is: 16,830.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753.32 : 30,021.70 = 12,194.83 : x
  2. Step 2: Convert to fraction form
    21,753.32/30,021.70 = 12,194.83/x
  3. Step 3: Cross multiply
    21,753.32x = 30,021.70 × 12,194.83
  4. Step 4: Simplify right side
    21,753.32x = 366,109,466.84
  5. Step 5: Solve for x
    x = 366,109,466.84/21,753.32
  6. Step 6: Final answer
    x = 16,830.05

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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.