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Finding the Fourth Proportional to 13,494.09, 20,241.13 and 4,729.00

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Solution

The fourth proportional to 13,494.09, 20,241.13 and 4,729.00 is: 7,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.09 : 20,241.13 = 4,729.00 : x
  2. Step 2: Convert to fraction form
    13,494.09/20,241.13 = 4,729.00/x
  3. Step 3: Cross multiply
    13,494.09x = 20,241.13 × 4,729.00
  4. Step 4: Simplify right side
    13,494.09x = 95,720,343.85
  5. Step 5: Solve for x
    x = 95,720,343.85/13,494.09
  6. Step 6: Final answer
    x = 7,093.50

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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.