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Finding the Fourth Proportional to 21,984.70, 30,338.98 and 11,913.16

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Solution

The fourth proportional to 21,984.70, 30,338.98 and 11,913.16 is: 16,440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984.70 : 30,338.98 = 11,913.16 : x
  2. Step 2: Convert to fraction form
    21,984.70/30,338.98 = 11,913.16/x
  3. Step 3: Cross multiply
    21,984.70x = 30,338.98 × 11,913.16
  4. Step 4: Simplify right side
    21,984.70x = 361,433,122.98
  5. Step 5: Solve for x
    x = 361,433,122.98/21,984.70
  6. Step 6: Final answer
    x = 16,440.21

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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.