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Finding the Fourth Proportional to 13,493.50, 20,242.59 and 4,133.30

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Solution

The fourth proportional to 13,493.50, 20,242.59 and 4,133.30 is: 6,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.50 : 20,242.59 = 4,133.30 : x
  2. Step 2: Convert to fraction form
    13,493.50/20,242.59 = 4,133.30/x
  3. Step 3: Cross multiply
    13,493.50x = 20,242.59 × 4,133.30
  4. Step 4: Simplify right side
    13,493.50x = 83,668,575.37
  5. Step 5: Solve for x
    x = 83,668,575.37/13,493.50
  6. Step 6: Final answer
    x = 6,200.66

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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.