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Finding the Fourth Proportional to 13,201.50, 19,800.09 and 9,294.06

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Solution

The fourth proportional to 13,201.50, 19,800.09 and 9,294.06 is: 13,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.50 : 19,800.09 = 9,294.06 : x
  2. Step 2: Convert to fraction form
    13,201.50/19,800.09 = 9,294.06/x
  3. Step 3: Cross multiply
    13,201.50x = 19,800.09 × 9,294.06
  4. Step 4: Simplify right side
    13,201.50x = 184,023,224.47
  5. Step 5: Solve for x
    x = 184,023,224.47/13,201.50
  6. Step 6: Final answer
    x = 13,939.57

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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.