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Finding the Fourth Proportional to 21,755.66, 30,021.74 and 12,194.40

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Solution

The fourth proportional to 21,755.66, 30,021.74 and 12,194.40 is: 16,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.66 : 30,021.74 = 12,194.40 : x
  2. Step 2: Convert to fraction form
    21,755.66/30,021.74 = 12,194.40/x
  3. Step 3: Cross multiply
    21,755.66x = 30,021.74 × 12,194.40
  4. Step 4: Simplify right side
    21,755.66x = 366,097,106.26
  5. Step 5: Solve for x
    x = 366,097,106.26/21,755.66
  6. Step 6: Final answer
    x = 16,827.67

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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.