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Finding the Fourth Proportional to 13,494.66, 20,237.11 and 5,704.08

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Solution

The fourth proportional to 13,494.66, 20,237.11 and 5,704.08 is: 8,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.66 : 20,237.11 = 5,704.08 : x
  2. Step 2: Convert to fraction form
    13,494.66/20,237.11 = 5,704.08/x
  3. Step 3: Cross multiply
    13,494.66x = 20,237.11 × 5,704.08
  4. Step 4: Simplify right side
    13,494.66x = 115,434,004.26
  5. Step 5: Solve for x
    x = 115,434,004.26/13,494.66
  6. Step 6: Final answer
    x = 8,554.05

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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.