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Finding the Fourth Proportional to 14,604.86, 21,908.19 and 9,922.86

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Solution

The fourth proportional to 14,604.86, 21,908.19 and 9,922.86 is: 14,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.86 : 21,908.19 = 9,922.86 : x
  2. Step 2: Convert to fraction form
    14,604.86/21,908.19 = 9,922.86/x
  3. Step 3: Cross multiply
    14,604.86x = 21,908.19 × 9,922.86
  4. Step 4: Simplify right side
    14,604.86x = 217,391,902.22
  5. Step 5: Solve for x
    x = 217,391,902.22/14,604.86
  6. Step 6: Final answer
    x = 14,884.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.