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Finding the Fourth Proportional to 19,942.98, 29,914.43 and 9,263.49

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Solution

The fourth proportional to 19,942.98, 29,914.43 and 9,263.49 is: 13,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.98 : 29,914.43 = 9,263.49 : x
  2. Step 2: Convert to fraction form
    19,942.98/29,914.43 = 9,263.49/x
  3. Step 3: Cross multiply
    19,942.98x = 29,914.43 × 9,263.49
  4. Step 4: Simplify right side
    19,942.98x = 277,112,158.50
  5. Step 5: Solve for x
    x = 277,112,158.50/19,942.98
  6. Step 6: Final answer
    x = 13,895.23

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Why These Related Problems?

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