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Finding the Fourth Proportional to 13,354.50, 20,032.02 and 3,494.64

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Solution

The fourth proportional to 13,354.50, 20,032.02 and 3,494.64 is: 5,242.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.50 : 20,032.02 = 3,494.64 : x
  2. Step 2: Convert to fraction form
    13,354.50/20,032.02 = 3,494.64/x
  3. Step 3: Cross multiply
    13,354.50x = 20,032.02 × 3,494.64
  4. Step 4: Simplify right side
    13,354.50x = 70,004,698.37
  5. Step 5: Solve for x
    x = 70,004,698.37/13,354.50
  6. Step 6: Final answer
    x = 5,242.03

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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.